Use the following figure to prove the Pythagorean Theorem by first proving that the quadrilateral with side c is a square. Then, compute the area of the square with side a+bin two ways: as (a+b) and as the sum of the areas of the four triangles and the square with side a. Choose the correct answer below. O A. Since all the angles are equal the quadrilateral is a square. OB. Since each side is equal to c the quadrilateral is a square. OC. Since each angle is 90° and each side is equal to c the quadrilateral is a square. OD. Since each angle is 00° the quadrilateral is a square. The area of the square using side length of a +b is The area of the square as the sum of the areas of the four triangles and square with side o is Since the two areas are for the same figure. they must be equal, thus, V The V term will cancel out and the result is

Mathematics For Machine Technology
8th Edition
ISBN:9781337798310
Author:Peterson, John.
Publisher:Peterson, John.
Chapter39: Symbolism And Algebraic Expressions
Section: Chapter Questions
Problem 18A: Given: In Figure 39-12, s is the length of a side of a hexagon, r isthe radius of the inside circle,...
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This Question: 1 pt
20 of 40 (10 complete) v
Use the following figure
prove the Pythagorean Theorem by first proving that the quadrilateral with side c is a square. Then, compute the area of the square with side a+b in two ways: as (a+b) and as the sum of the areas of the four triangles and the square with side a
Choose the correct answer below.
O A. Since all the angles are equal the quadrilateral is a square.
O B. Since each side is equal to c the quadrilateral is a square.
OC. Since each angle is 90° and each side is equal to c the quadrilateral is a square.
OD. Since each angle is 90° the quadrilateral is a square.
The area of the square using side length of a+b is
The area of the square as the sum of the areas of the four triangles and square with side o is
Since the two areas are for the same figure, they must be equal, thus,
M The
Mterm will cancel out and the result is
Click to select your answer
O Type here to search
hp
Transcribed Image Text:This Question: 1 pt 20 of 40 (10 complete) v Use the following figure prove the Pythagorean Theorem by first proving that the quadrilateral with side c is a square. Then, compute the area of the square with side a+b in two ways: as (a+b) and as the sum of the areas of the four triangles and the square with side a Choose the correct answer below. O A. Since all the angles are equal the quadrilateral is a square. O B. Since each side is equal to c the quadrilateral is a square. OC. Since each angle is 90° and each side is equal to c the quadrilateral is a square. OD. Since each angle is 90° the quadrilateral is a square. The area of the square using side length of a+b is The area of the square as the sum of the areas of the four triangles and square with side o is Since the two areas are for the same figure, they must be equal, thus, M The Mterm will cancel out and the result is Click to select your answer O Type here to search hp
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