A. Suppose that in triangle ABC, the ray which bisects angle A meets the opposite side at D. Prove that AB/AC=DB/DC. (Hint: Construct a line through C parallel to AD which meets line AB at E and use 2.12 Theorem 3.)
A. Suppose that in triangle ABC, the ray which bisects angle A meets the opposite side at D. Prove that AB/AC=DB/DC. (Hint: Construct a line through C parallel to AD which meets line AB at E and use 2.12 Theorem 3.)
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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![A. Suppose that in triangle ABC, the ray which bisects angle A meets the opposite side at D. Prove
that AB/AC=DB/DC. (Hint: Construct a line through C parallel to AD which meets line AB at E
and use 2.12 Theorem 3.)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F946be153-534b-47e9-b2ae-1271a90bac9b%2Ff4e38927-d80f-4eea-a6ce-114d7316cd24%2Fpq3832u_processed.png&w=3840&q=75)
Transcribed Image Text:A. Suppose that in triangle ABC, the ray which bisects angle A meets the opposite side at D. Prove
that AB/AC=DB/DC. (Hint: Construct a line through C parallel to AD which meets line AB at E
and use 2.12 Theorem 3.)
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