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.

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

6th Edition

ISBN:9781285195698

Author:Daniel C. Alexander, Geralyn M. Koeberlein

Publisher:Daniel C. Alexander, Geralyn M. Koeberlein

Chapter6: Circles

Section6.3: Line And Segment Relationships In The Circle

Problem 38E: The center of a circle of radius 3 inches is at a distance of 20 inches from the center of a circle...

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