Answer Distance that carpenter measured is 5 inches. Explanation Given: The length of mark carpenter made on one side of shelf = 3 inches The length of mark carpenter made on second side of shelf = 4 inches Calculation: To find the distance that the carpenter measured to make sure that the corner is a right angle, we put the given values in Pythagoras Theorem: c 2 = a 2 + b 2 ( c ) 2 = ( 3 ) 2 + ( 4 ) 2 ( c ) 2 = 9 + 16 ( c ) 2 = 25 c = 25 c = 5 i n c h Hence, the distance that the carpenter measured is 5 inches This method works because when we put the values of three sides in Pythagoras Theorem, it gives the same result on both sides. Pythagoras Theorem generates equal values on both the sides when the sides of the triangle are right angled.

6th Edition

ISBN: 9781285074672

Author: Larson

Publisher: CENGAGE L

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Polygon with three sides, three angles, and three vertices. Based on the properties of each side, the types of triangles are scalene (triangle with three three different lengths and three different angles), isosceles (angle with two equal sides and two equal angles), and equilateral (three equal sides and three angles of 60°). The types of angles are acute (less than 90°); obtuse (greater than 90°); and right (90°).

Chapter 9.3, Problem 20E

To determine

The distance that the carpenter measure

Expert Solution & Answer

Answer to Problem 20E

Distance that carpenter measured is 5 inches.

Explanation of Solution

Given:

The length of mark carpenter made on one side of shelf = 3 inches

The length of mark carpenter made on second side of shelf = 4 inches

Calculation:

To find the distance that the carpenter measured to make sure that the corner is a right angle, we put the given values in Pythagoras Theorem:

ELEMENTARY+INTERMEDIATE ALGEBRA, Chapter 9.3, Problem 20E

c2=a2+b2(c)2=(3)2+(4)2(c)2=9+16(c)2=25c=25c=5inch

Hence, the distance that the carpenter measured is 5 inches

This method works because when we put the values of three sides in Pythagoras Theorem, it gives the same result on both sides. Pythagoras Theorem generates equal values on both the sides when the sides of the triangle are right angled.

Chapter 9.3, Problem 19E

Chapter 9.3, Problem 21E

Chapter 9 Solutions

ELEMENTARY+INTERMEDIATE ALGEBRA

Ch. 9.1 - Prob. 1C Ch. 9.1 - Prob. 2C Ch. 9.1 - Prob. 3C Ch. 9.1 - Prob. 4C Ch. 9.1 - Prob. 5C Ch. 9.1 - Prob. 6C Ch. 9.1 - Prob. 7C Ch. 9.1 - Prob. 8C Ch. 9.1 - Prob. 1E Ch. 9.1 - Prob. 2E

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