Prove that any angle bisector of a triangle separates the opposite side into segments whose lengths have the same ratio as the ratio of the lengths of the remaining two sides.

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter8: Areas Of Polygons And Circles
Section8.5: More Area Relationships In The Circle
Problem 16E: The approximate area of a triangle with sides of lengths 3 in., 5 in., and 6 in. is 7.48 in2. What...
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Prove that any angle bisector of a triangle separates the opposite side into segments whose
lengths have the same ratio as the ratio of the lengths of the remaining two sides.
Transcribed Image Text:Prove that any angle bisector of a triangle separates the opposite side into segments whose lengths have the same ratio as the ratio of the lengths of the remaining two sides.
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