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6. * Let AABC have a right-angle at C. Drop a perpendicu- lar from C to AB at D. (a) Prove that D lies on AB. (b) Prove that you have three similar triangles. D. (c) Use these facts to prove Pythagoras' Theorem. C =x+y

6. * Let AABC have a right-angle at C. Drop a perpendicu- lar from C to AB at D. (a) Prove that D lies on AB. (b) Prove that you have three similar triangles. D. (c) Use these facts to prove Pythagoras' Theorem. C =x+y

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.
ChapterP: Preliminary Concepts
SectionP.CT: Test
Problem 1CT
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6. * Let AABC have a right-angle at C. Drop a perpendicu- lar from C to AB at D. a (a) Prove that D lies on AB. (b) Prove that you have three similar triangles. (c) Use these facts to prove Pythagoras' Theorem. C=x+y
Transcribed Image Text:6. * Let AABC have a right-angle at C. Drop a perpendicu- lar from C to AB at D. a (a) Prove that D lies on AB. (b) Prove that you have three similar triangles. (c) Use these facts to prove Pythagoras' Theorem. C=x+y
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