Precalculus with Limits: A Graphing Approach
7th Edition
ISBN: 9781305071711
Author: Ron Larson
Publisher: Brooks/Cole
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Question
Chapter 10.1, Problem 39E
To determine
Tofind:The lengths of the sides of right triangle. Prove that these lengths satisfy Pythagorean Theorem.
Expert Solution & Answer
Answer to Problem 39E
The length of three sides of right triangle are
Explanation of Solution
Given information:
The graph is shown below.
Calculation:
The vertices of the right triangle are
The length of the sides of triangle is the distance between the vertices.
Use the distance formula for two points
The distance between the points
So, the length of perpendicular of triangle is
The distance between the points
So, the length of hypotenuse of triangle is
The distance between the points
So, the length of base of triangle is
Therefore, the length of three sides of right triangle are
Let us check the Pythagorean Theorem.
Take the left side of the equation.
Hence, the lengths of the right triangle satisfy the Pythagorean Theorem.
Chapter 10 Solutions
Precalculus with Limits: A Graphing Approach
Ch. 10.1 - Prob. 1ECh. 10.1 - Prob. 2ECh. 10.1 - Prob. 3ECh. 10.1 - Prob. 4ECh. 10.1 - Prob. 5ECh. 10.1 - Prob. 6ECh. 10.1 - Prob. 7ECh. 10.1 - Prob. 8ECh. 10.1 - Prob. 9ECh. 10.1 - Prob. 10E
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