Use the diagram shown to prove the Pythagorean Theorem a? + b2 = c².ADBaCfandv = ce. By the Addition Property of Equalityeav andBy the cross-product property, a =As similar triangles have proportional sides, we can write the proportionsf + e, therefore, we can substitute and arrive at the statementa? + b2cf + ce. Factoring allows the equivalent expression, a? +b² = c (f+e). By the Subtraction Property of Equalitya? + b2

The solution for the above question is as shown below.

Answered: Use the diagram shown to prove the…

Elementary Geometry For College Students, 7e

7th Edition

ISBN:9781337614085

Author:Alexander, Daniel C.; Koeberlein, Geralyn M.

Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.

ChapterP: Preliminary Concepts

SectionP.CT: Test

Problem 1CT

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Use the diagram shown to prove the Pythagorean Theorem a² + b = c A D B C