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Naomi used the figure shown below to help prove the Pythagorean Theorem. In the figure, both AACD and ACBD are similar to AABC. A y D B a

Naomi used the figure shown below to help prove the Pythagorean Theorem. In the figure, both AACD and ACBD are similar to AABC. A y D B a

Elementary Geometry For College Students, 7e
Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter1: Line And Angle Relationships
Section1.2: Angles And Their Relationships
Problem 29E: Suppose that the two angles are supplementary. Find expressions for the supplements, using the...
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Naomi used the figure shown below to help prove the Pythagorean Theorem. In the figure, both AACD and ACBD are similar to AABC. A b B. C a She began by correctly setting up the proportions 2 = = and 2 = and cross-multipling to get the equations a? = xc and 62 yc. What should Naomi do next? Select options from the drop-down menus to correctly complete each sentence. First, she should find the • of the equations a? = rc and b2 yc to get another equation. Then she should factor one of the sides of the resulting equation. Finally, she should substitute : into the resulting equation and multiply. This will prove the Pythagorean Theorem.
Transcribed Image Text:Naomi used the figure shown below to help prove the Pythagorean Theorem. In the figure, both AACD and ACBD are similar to AABC. A b B. C a She began by correctly setting up the proportions 2 = = and 2 = and cross-multipling to get the equations a? = xc and 62 yc. What should Naomi do next? Select options from the drop-down menus to correctly complete each sentence. First, she should find the • of the equations a? = rc and b2 yc to get another equation. Then she should factor one of the sides of the resulting equation. Finally, she should substitute : into the resulting equation and multiply. This will prove the Pythagorean Theorem.
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