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Olympiad workbookIOQMProperties of Triangles

In a triangle ABC , it is known that A =100^ and AB = AC . The internal angle bisector BD has length 20 units. Find the length of BC to the nearest integer, given that 10^ 0.174 .

Correct answer

27

Step-by-step solution

BCD , by sine rule aligned & B C 120^ = B D 40^ = 20 40^ & B C= 10 3 40^ aligned Given, 80^ ( 10^ ) 0.174 40^ 1- 80^ 2 0.643 Nearest integer to BC =27

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