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

7th Edition

ISBN:9781337614085

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

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

Chapter5: Similar Triangles

Section5.6: Segments Divided Proportionally

Problem 38E: In right ABC with right C,AD bisects BAC. If AC=6 and DC=3, find BD and AB. HINT: Let BD=x and...

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Question

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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