Seth is using the figure shown below to prove the Pythagorean Theorem using triangle similarity: In the given triangle PQR, angle P is 90° and segment PS is perpendicular to segment QR. Part A: Identify a pair of similar triangles. Part B: Explain how you know the triangles from Part A are similar. Part C: If RS = 4 and RQ = 16 , find the length of segment RP. Show your work.

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
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Seth is using the figure shown below to prove the Pythagorean Theorem using triangle similarity:
In the given triangle PQR, angle P is 90° and segment PS is perpendicular to segment QR.
Part A: Identify a pair of similar triangles.
Part B: Explain how you know the triangles from Part A are similar.
Part C: If RS = 4 and RQ = 16 , find the length of segment RP. Show your work.
Transcribed Image Text:Seth is using the figure shown below to prove the Pythagorean Theorem using triangle similarity: In the given triangle PQR, angle P is 90° and segment PS is perpendicular to segment QR. Part A: Identify a pair of similar triangles. Part B: Explain how you know the triangles from Part A are similar. Part C: If RS = 4 and RQ = 16 , find the length of segment RP. Show your work.
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