Mathematics All Around-Workbook
6th Edition
ISBN: 9780134462356
Author: Pirnot
Publisher: PEARSON
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Chapter 9.3, Problem 24E
To determine
To find:
The area of the given triangle using Heron’s formula.
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Find all solutions to the following equation. Do you get any extraneous solutions? Explain why or why
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2
2
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x+1x-1
x21
Show all steps in your process. Be sure to state your claim, provide your evidence, and provide your
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Directions: For problems 1 through 3, read each question carefully and be sure to show all work.
1. What is the phase shift for y = 2sin(2x-)?
2. What is the amplitude of y = 7cos(2x+л)?
3. What is the period of y = sin(3x-π)?
Directions: For problems 4 and 5, you were to compare and contrast the two functions in each problem situation. Be sure to
include a discussion of similarities and differences for the periods, amplitudes, y-minimums, y-maximums, and any phase shift
between the two graphs. Write in complete sentences.
4. y 3sin(2x) and y = 3cos(2x)
5. y 4sin(2x) and y = cos(3x- -플)
A graph G of order 12 has vertex set V(G) = {c1, c2, …, c12} for the twelve configurations inFigure 1.4. A “move” on this checkerboard corresponds to moving a single coin to anunoccupied square, where(1) the gold coin can only be moved horizontally or diagonally,(2) the silver coin can only be moved vertically or diagonally.Two vertices ci and cj (i ≠ j) are adjacent if it is possible to move ci to cj by a single move.
(a) What vertices are adjacent to c1 in G?(c) Draw the subgraph of G induced by {c2, c6, c9, c11}.
Chapter 9 Solutions
Mathematics All Around-Workbook
Ch. 9.1 - In Exercise 18, match each term with the numbered...Ch. 9.1 - In Exercise 18, match each term with the numbered...Ch. 9.1 - In Exercise 18, match each term with the numbered...Ch. 9.1 - In Exercise 18, match each term with the numbered...Ch. 9.1 - Prob. 5ECh. 9.1 - Prob. 6ECh. 9.1 - Prob. 7ECh. 9.1 - In Exercise 18, match each term with the numbered...Ch. 9.1 - In Exercises 914, determine whether each statement...Ch. 9.1 - In Exercises 914, determine whether each statement...
Ch. 9.1 - In Exercises 914, determine whether each statement...Ch. 9.1 - In Exercises 914, determine whether each statement...Ch. 9.1 - In Exercises 914, determine whether each statement...Ch. 9.1 - In Exercises 914, determine whether each statement...Ch. 9.1 - Use the given figure to answer Exercises 1518....Ch. 9.1 - Use the given figure to answer Exercises 1518....Ch. 9.1 - Use the given figure to answer Exercises 1518....Ch. 9.1 - Use the given figure to answer Exercises 1518....Ch. 9.1 - Prob. 19ECh. 9.1 - Prob. 20ECh. 9.1 - In Exercises 1924, find the measure of a...Ch. 9.1 - In Exercises 1924, find the measure of a...Ch. 9.1 - In Exercises 1924, find the measure of a...Ch. 9.1 - In Exercises 1924, find the measure of a...Ch. 9.1 - Prob. 25ECh. 9.1 - Prob. 26ECh. 9.1 - In Exercises 2530, find the measures of angles a,...Ch. 9.1 - In Exercises 2530, find the measures of angles a,...Ch. 9.1 - In Exercises 2530, find the measures of angles a,...Ch. 9.1 - Prob. 30ECh. 9.1 - In Exercises 3136, you are given two of the...Ch. 9.1 - In Exercises 3136, you are given two of the...Ch. 9.1 - In Exercises 3136, you are given two of the...Ch. 9.1 - In Exercises 3136, you are given two of the...Ch. 9.1 - In Exercises 3136, you are given two of the...Ch. 9.1 - In Exercises 3136, you are given two of the...Ch. 9.1 - Prob. 37ECh. 9.1 - Continuing the situation from Exercises 3136, use...Ch. 9.1 - Continuing the situation from Exercises 3136, use...Ch. 9.1 - Continuing the situation from Exercises 3136, use...Ch. 9.1 - Prob. 41ECh. 9.1 - In Exercises 4144, solve for x. Assume that lines...Ch. 9.1 - In Exercises 4144, solve for x. Assume that lines...Ch. 9.1 - Prob. 44ECh. 9.1 - Prob. 45ECh. 9.1 - Prob. 46ECh. 9.1 - Prob. 47ECh. 9.1 - Prob. 48ECh. 9.1 - Prob. 49ECh. 9.1 - Prob. 50ECh. 9.1 - Prob. 51ECh. 9.1 - Prob. 52ECh. 9.1 - Prob. 53ECh. 9.1 - Prob. 54ECh. 9.1 - Prob. 55ECh. 9.1 - Prob. 56ECh. 9.1 - In Exercises 57 and 58 find the measure of angle x...Ch. 9.1 - Prob. 58ECh. 9.1 - Prob. 59ECh. 9.1 - Prob. 60ECh. 9.1 - Prob. 61ECh. 9.1 - When a pair of parallel lines is cut by a...Ch. 9.1 - Prob. 63ECh. 9.1 - Prob. 64ECh. 9.1 - Prob. 65ECh. 9.1 - Prob. 66ECh. 9.1 - Prob. 67ECh. 9.1 - Prob. 68ECh. 9.1 - Prob. 69ECh. 9.1 - Prob. 70ECh. 9.1 - Prob. 71ECh. 9.1 - Prob. 72ECh. 9.1 - Prob. 73ECh. 9.1 - Prob. 74ECh. 9.1 - Prob. 75ECh. 9.1 - Prob. 76ECh. 9.1 - Prob. 77ECh. 9.1 - Prob. 78ECh. 9.1 - Prob. 79ECh. 9.1 - Prob. 80ECh. 9.2 - In Exercises 14, state whether each figure is a...Ch. 9.2 - In Exercises 14, state whether each figure is a...Ch. 9.2 - Prob. 3ECh. 9.2 - In Exercises 14, state whether each figure is a...Ch. 9.2 - Prob. 5ECh. 9.2 - Provide a counterexample to each of the statements...Ch. 9.2 - Prob. 7ECh. 9.2 - Prob. 8ECh. 9.2 - Prob. 9ECh. 9.2 - Prob. 10ECh. 9.2 - Prob. 11ECh. 9.2 - We have indicated the measures of the angles of...Ch. 9.2 - Prob. 13ECh. 9.2 - We have indicated the measures of the angles of...Ch. 9.2 - Prob. 15ECh. 9.2 - If we divide a regular octagon into triangles as...Ch. 9.2 - What is the measure of an interior angle of a...Ch. 9.2 - What is the measure of an interior angle of a...Ch. 9.2 - Prob. 19ECh. 9.2 - Prob. 20ECh. 9.2 - Prob. 21ECh. 9.2 - Prob. 22ECh. 9.2 - Prob. 23ECh. 9.2 - Prob. 24ECh. 9.2 - Prob. 25ECh. 9.2 - Prob. 26ECh. 9.2 - Prob. 27ECh. 9.2 - An accessibility ramp. A ramp was constructed to...Ch. 9.2 - The Russians erected the worlds largest...Ch. 9.2 - Prob. 30ECh. 9.2 - Prob. 31ECh. 9.2 - Prob. 32ECh. 9.2 - Prob. 33ECh. 9.2 - Prob. 34ECh. 9.2 - Prob. 35ECh. 9.2 - Prob. 36ECh. 9.2 - Prob. 37ECh. 9.2 - Prob. 38ECh. 9.2 - Prob. 39ECh. 9.2 - Prob. 40ECh. 9.2 - The tangram is an ancient Chinese puzzle that...Ch. 9.2 - The tangram is an ancient Chinese puzzle that...Ch. 9.2 - The tangram is an ancient Chinese puzzle that...Ch. 9.2 - Prob. 44ECh. 9.2 - Prob. 45ECh. 9.2 - Prob. 46ECh. 9.2 - Prob. 47ECh. 9.2 - What information do you know about the angles and...Ch. 9.2 - Do an Internet search for architectural disasters...Ch. 9.2 - Prob. 51ECh. 9.2 - Prob. 52ECh. 9.2 - Prob. 53ECh. 9.2 - Prob. 54ECh. 9.2 - Prob. 55ECh. 9.2 - Make up a description of a triangle as we did in...Ch. 9.2 - Prob. 57ECh. 9.2 - Prob. 58ECh. 9.2 - Prob. 59ECh. 9.2 - Prob. 60ECh. 9.2 - Prob. 61ECh. 9.2 - Prob. 63ECh. 9.2 - In building scaffolding, often the scaffolding has...Ch. 9.3 - In Exercises 112, find the area of each figure....Ch. 9.3 - In Exercises 112, find the area of each figure....Ch. 9.3 - In Exercises 112, find the area of each figure....Ch. 9.3 - In Exercises 112, find the area of each figure....Ch. 9.3 - In Exercises 112, find the area of each figure....Ch. 9.3 - In Exercises 112, find the area of each figure....Ch. 9.3 - In Exercises 112, find the area of each figure....Ch. 9.3 - In Exercises 112, find the area of each figure....Ch. 9.3 - In Exercises 112, find the area of each figure....Ch. 9.3 - In Exercises 112, find the area of each figure....Ch. 9.3 - In Exercises 112, find the area of each figure....Ch. 9.3 - In Exercises 112, find the area of each figure....Ch. 9.3 - In Exercises 1318, find the area of the shaded...Ch. 9.3 - In Exercises 1318, find the area of the shaded...Ch. 9.3 - In Exercises 1318, find the area of the shaded...Ch. 9.3 - In Exercises 1318, find the area of the shaded...Ch. 9.3 - In Exercises 1318, find the area of the shaded...Ch. 9.3 - In Exercises 1318, find the area of the shaded...Ch. 9.3 - The area of trapezoid ABCD is 54 square feet and...Ch. 9.3 - The area of trapezoid ABCD is 80 square inches....Ch. 9.3 - Prob. 21ECh. 9.3 - Prob. 22ECh. 9.3 - Prob. 23ECh. 9.3 - Prob. 24ECh. 9.3 - Prob. 25ECh. 9.3 - Prob. 26ECh. 9.3 - Prob. 27ECh. 9.3 - In Exercises 2730, find the length of side x for...Ch. 9.3 - Prob. 29ECh. 9.3 - Prob. 30ECh. 9.3 - In Exercises 31 and 32, find the area of triangle...Ch. 9.3 - Prob. 32ECh. 9.3 - Prob. 33ECh. 9.3 - Prob. 34ECh. 9.3 - Prob. 35ECh. 9.3 - A geoboard is a board with rows of nails spaced 1...Ch. 9.3 - Prob. 37ECh. 9.3 - Prob. 38ECh. 9.3 - Prob. 39ECh. 9.3 - Prob. 40ECh. 9.3 - In Exercises 4144, state whether perimeter or area...Ch. 9.3 - Prob. 42ECh. 9.3 - Prob. 43ECh. 9.3 - Prob. 44ECh. 9.3 - Prob. 45ECh. 9.3 - Prob. 46ECh. 9.3 - Find the length of line segment AB in the given...Ch. 9.3 - Prob. 48ECh. 9.3 - Prob. 49ECh. 9.3 - Use the following figure to answer Exercises 49...Ch. 9.3 - Prob. 51ECh. 9.3 - Prob. 52ECh. 9.3 - Prob. 53ECh. 9.3 - Prob. 54ECh. 9.3 - Prob. 55ECh. 9.3 - Prob. 56ECh. 9.3 - Prob. 57ECh. 9.3 - Prob. 58ECh. 9.3 - Prob. 59ECh. 9.3 - Prob. 60ECh. 9.3 - Prob. 61ECh. 9.3 - Prob. 62ECh. 9.3 - Prob. 63ECh. 9.3 - Prob. 64ECh. 9.3 - Prob. 65ECh. 9.3 - Prob. 66ECh. 9.3 - Prob. 67ECh. 9.3 - Prob. 68ECh. 9.3 - Prob. 69ECh. 9.3 - Prob. 70ECh. 9.3 - Prob. 71ECh. 9.3 - Prob. 72ECh. 9.3 - Prob. 73ECh. 9.3 - Prob. 74ECh. 9.3 - Prob. 75ECh. 9.3 - Prob. 76ECh. 9.3 - Prob. 77ECh. 9.3 - Prob. 78ECh. 9.3 - Prob. 79ECh. 9.3 - Prob. 80ECh. 9.3 - Prob. 81ECh. 9.3 - Prob. 82ECh. 9.3 - Prob. 83ECh. 9.3 - Prob. 84ECh. 9.3 - Prob. 85ECh. 9.3 - Prob. 86ECh. 9.4 - In Exercises 18, find a the surface area and b the...Ch. 9.4 - In Exercises 18, find a the surface area and b the...Ch. 9.4 - In Exercises 18, find a the surface area and b the...Ch. 9.4 - In Exercises 18, find a the surface area and b the...Ch. 9.4 - In Exercises 18, find a the surface area and b the...Ch. 9.4 - In Exercises 18, find a the surface area and b the...Ch. 9.4 - In Exercises 18, find a the surface area and b the...Ch. 9.4 - In Exercises 18, find a the surface area and b the...Ch. 9.4 - In Exercises 914, find the volume of each figure.Ch. 9.4 - In Exercises 914, find the volume of each figure.Ch. 9.4 - In Exercises 914, find the volume of each figure.Ch. 9.4 - In Exercises 914, find the volume of each figure.Ch. 9.4 - In Exercises 914, find the volume of each figure.Ch. 9.4 - In Exercises 914, find the volume of each figure.Ch. 9.4 - Prob. 15ECh. 9.4 - Prob. 16ECh. 9.4 - Prob. 17ECh. 9.4 - Prob. 18ECh. 9.4 - Prob. 19ECh. 9.4 - Prob. 20ECh. 9.4 - Prob. 21ECh. 9.4 - Prob. 22ECh. 9.4 - Prob. 23ECh. 9.4 - Prob. 24ECh. 9.4 - Prob. 25ECh. 9.4 - Prob. 26ECh. 9.4 - Prob. 27ECh. 9.4 - Prob. 28ECh. 9.4 - Prob. 29ECh. 9.4 - Prob. 30ECh. 9.4 - Prob. 31ECh. 9.4 - Prob. 32ECh. 9.4 - Prob. 33ECh. 9.4 - Prob. 34ECh. 9.4 - Diameter of the moon. Earth has a diameter of...Ch. 9.4 - Prob. 36ECh. 9.4 - Prob. 37ECh. 9.4 - Prob. 38ECh. 9.4 - Prob. 39ECh. 9.4 - Prob. 40ECh. 9.4 - Prob. 41ECh. 9.4 - Prob. 42ECh. 9.4 - Prob. 43ECh. 9.4 - Prob. 44ECh. 9.4 - Prob. 45ECh. 9.4 - Prob. 46ECh. 9.4 - Prob. 47ECh. 9.4 - Prob. 48ECh. 9.4 - Prob. 49ECh. 9.4 - Prob. 50ECh. 9.4 - Prob. 51ECh. 9.4 - Prob. 52ECh. 9.4 - Prob. 53ECh. 9.4 - Prob. 54ECh. 9.4 - If we cut off the top of a cone by making a...Ch. 9.5 - Use Table 9.5 to make the conversions in Exercises...Ch. 9.5 - Use Table 9.5 to make the conversions in Exercises...Ch. 9.5 - Prob. 3ECh. 9.5 - Prob. 4ECh. 9.5 - Prob. 5ECh. 9.5 - Prob. 6ECh. 9.5 - Prob. 7ECh. 9.5 - Prob. 8ECh. 9.5 - Prob. 9ECh. 9.5 - Prob. 10ECh. 9.5 - Prob. 11ECh. 9.5 - Prob. 12ECh. 9.5 - Prob. 13ECh. 9.5 - Prob. 14ECh. 9.5 - Prob. 15ECh. 9.5 - Prob. 16ECh. 9.5 - Prob. 17ECh. 9.5 - Pick the most appropriate measurement for each of...Ch. 9.5 - Prob. 19ECh. 9.5 - Prob. 20ECh. 9.5 - Prob. 21ECh. 9.5 - Prob. 22ECh. 9.5 - Prob. 23ECh. 9.5 - Prob. 24ECh. 9.5 - Prob. 25ECh. 9.5 - Prob. 26ECh. 9.5 - Prob. 27ECh. 9.5 - Prob. 28ECh. 9.5 - Prob. 29ECh. 9.5 - Prob. 30ECh. 9.5 - Prob. 31ECh. 9.5 - Prob. 32ECh. 9.5 - Prob. 33ECh. 9.5 - Prob. 34ECh. 9.5 - Prob. 35ECh. 9.5 - Our monetary system is based on powers of 10 much...Ch. 9.5 - Prob. 37ECh. 9.5 - Prob. 38ECh. 9.5 - Prob. 39ECh. 9.5 - Prob. 40ECh. 9.5 - Prob. 41ECh. 9.5 - Rewrite each statement, replacing the metric...Ch. 9.5 - Prob. 43ECh. 9.5 - Prob. 44ECh. 9.5 - Area of an oriental rug. a. Find the number of...Ch. 9.5 - Prob. 46ECh. 9.5 - Prob. 47ECh. 9.5 - Prob. 48ECh. 9.5 - Prob. 49ECh. 9.5 - Prob. 50ECh. 9.5 - Prob. 51ECh. 9.5 - Prob. 52ECh. 9.5 - Prob. 53ECh. 9.5 - Prob. 54ECh. 9.5 - Prob. 55ECh. 9.5 - Prob. 56ECh. 9.5 - Buying gasoline. If gasoline costs 2.18 per liter...Ch. 9.5 - Prob. 58ECh. 9.5 - Prob. 59ECh. 9.5 - Prob. 60ECh. 9.5 - Prob. 61ECh. 9.5 - Prob. 62ECh. 9.5 - Prob. 63ECh. 9.5 - Prob. 64ECh. 9.5 - Prob. 65ECh. 9.5 - Prob. 66ECh. 9.5 - Prob. 67ECh. 9.5 - Prob. 68ECh. 9.5 - Prob. 69ECh. 9.5 - In the metric system, temperatures are measured on...Ch. 9.5 - Prob. 71ECh. 9.5 - Prob. 72ECh. 9.5 - Prob. 73ECh. 9.5 - Prob. 74ECh. 9.5 - Prob. 75ECh. 9.5 - Prob. 76ECh. 9.5 - Prob. 77ECh. 9.5 - Prob. 78ECh. 9.5 - Prob. 79ECh. 9.5 - Prob. 80ECh. 9.5 - Prob. 81ECh. 9.5 - Prob. 82ECh. 9.5 - Prob. 83ECh. 9.5 - Prob. 84ECh. 9.5 - Prob. 85ECh. 9.5 - Prob. 86ECh. 9.5 - Cost of gasoline in France. Suppose that you are...Ch. 9.5 - Prob. 88ECh. 9.5 - Prob. 89ECh. 9.5 - Prob. 90ECh. 9.6 - Use the following figure for Exercises 14. You may...Ch. 9.6 - Prob. 2ECh. 9.6 - Prob. 3ECh. 9.6 - Prob. 4ECh. 9.6 - Prob. 5ECh. 9.6 - Prob. 6ECh. 9.6 - Prob. 7ECh. 9.6 - Prob. 8ECh. 9.6 - Prob. 9ECh. 9.6 - Prob. 10ECh. 9.6 - Use the following figure for Exercises 1114....Ch. 9.6 - Prob. 12ECh. 9.6 - Prob. 13ECh. 9.6 - Prob. 14ECh. 9.6 - Perform the indicated glide reflection on figure...Ch. 9.6 - Perform the indicated glide reflection on figure...Ch. 9.6 - Prob. 17ECh. 9.6 - Prob. 18ECh. 9.6 - Prob. 19ECh. 9.6 - Prob. 20ECh. 9.6 - Prob. 21ECh. 9.6 - Prob. 22ECh. 9.6 - Prob. 23ECh. 9.6 - Prob. 24ECh. 9.6 - Prob. 25ECh. 9.6 - Prob. 26ECh. 9.6 - Prob. 27ECh. 9.6 - Prob. 28ECh. 9.6 - Prob. 29ECh. 9.6 - Prob. 30ECh. 9.6 - Prob. 31ECh. 9.6 - Prob. 32ECh. 9.6 - Prob. 33ECh. 9.6 - Prob. 34ECh. 9.6 - Prob. 35ECh. 9.6 - Prob. 36ECh. 9.6 - Prob. 37ECh. 9.6 - Prob. 38ECh. 9.6 - Prob. 39ECh. 9.6 - Prob. 40ECh. 9.6 - Prob. 41ECh. 9.6 - Prob. 42ECh. 9.6 - Prob. 43ECh. 9.6 - Prob. 44ECh. 9.6 - Prob. 45ECh. 9.6 - Prob. 46ECh. 9.6 - Prob. 47ECh. 9.6 - Prob. 48ECh. 9.6 - Prob. 49ECh. 9.6 - Prob. 50ECh. 9.6 - Prob. 51ECh. 9.6 - Which of the following types of tessellations can...Ch. 9.6 - Prob. 53ECh. 9.6 - Prob. 54ECh. 9.6 - Prob. 55ECh. 9.6 - Prob. 56ECh. 9.6 - Prob. 57ECh. 9.7 - Prob. 1ECh. 9.7 - Prob. 2ECh. 9.7 - Prob. 3ECh. 9.7 - Prob. 4ECh. 9.7 - Prob. 5ECh. 9.7 - Prob. 6ECh. 9.7 - Prob. 7ECh. 9.7 - Prob. 8ECh. 9.7 - Prob. 9ECh. 9.7 - Prob. 10ECh. 9.7 - Prob. 11ECh. 9.7 - Prob. 12ECh. 9.7 - Prob. 13ECh. 9.7 - Prob. 14ECh. 9.7 - Prob. 15ECh. 9.7 - Prob. 16ECh. 9.7 - How did we argue that the length of the Koch curve...Ch. 9.7 - Prob. 18ECh. 9.7 - Prob. 19ECh. 9.7 - Prob. 20ECh. 9.7 - Prob. 21ECh. 9.7 - Prob. 22ECh. 9.7 - Prob. 23ECh. 9.7 - Prob. 24ECh. 9.7 - Prob. 25ECh. 9.CR - Prob. 1CRCh. 9.CR - Prob. 2CRCh. 9.CR - Prob. 3CRCh. 9.CR - Prob. 4CRCh. 9.CR - Prob. 5CRCh. 9.CR - Prob. 6CRCh. 9.CR - Prob. 7CRCh. 9.CR - Prob. 8CRCh. 9.CR - Prob. 9CRCh. 9.CR - Prob. 10CRCh. 9.CR - Prob. 11CRCh. 9.CR - Prob. 12CRCh. 9.CR - Find the volume of each solid. a bCh. 9.CR - Prob. 14CRCh. 9.CR - Prob. 15CRCh. 9.CR - Prob. 16CRCh. 9.CR - Prob. 17CRCh. 9.CR - Prob. 18CRCh. 9.CR - Prob. 19CRCh. 9.CR - Prob. 20CRCh. 9.CR - Prob. 21CRCh. 9.CR - Prob. 22CRCh. 9.CR - Prob. 23CRCh. 9.CR - Prob. 24CRCh. 9.CR - Prob. 25CRCh. 9.CR - You are given steps 0 and 1 for constructing a...Ch. 9.CT - In the given figure, name each of the following...Ch. 9.CT - Prob. 2CTCh. 9.CT - Prob. 3CTCh. 9.CT - Prob. 4CTCh. 9.CT - Prob. 5CTCh. 9.CT - Prob. 6CTCh. 9.CT - Prob. 7CTCh. 9.CT - Prob. 8CTCh. 9.CT - Prob. 9CTCh. 9.CT - Prob. 10CTCh. 9.CT - Prob. 11CTCh. 9.CT - A pool is surrounded by a brick walkway as shown...Ch. 9.CT - Prob. 13CTCh. 9.CT - Prob. 14CTCh. 9.CT - Prob. 15CTCh. 9.CT - Prob. 16CTCh. 9.CT - Prob. 17CTCh. 9.CT - Prob. 18CTCh. 9.CT - Prob. 19CTCh. 9.CT - Prob. 20CTCh. 9.CT - Prob. 21CTCh. 9.CT - Prob. 22CT
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Publisher:Cengage Learning
Algebra - Pythagorean Theorem; Author: yaymath;https://www.youtube.com/watch?v=D_y_owf1WsI;License: Standard YouTube License, CC-BY
The Organic Chemistry Tutor; Author: Pythagorean Theorem Explained!;https://www.youtube.com/watch?v=B0G35RkmwSw;License: Standard Youtube License