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Source: PRMO Leg 2 P28

August 25, 2019
geometryPRMO

Problem Statement

In a triangle ABCABC, it is known that ∠A=100∘\angle A=100^{\circ} and AB=ACAB=AC. The internal angle bisector BDBD has length 2020 units. Find the length of BCBC to the nearest integer, given that sin⁡10∘≈0.174\sin 10^{\circ} \approx 0.174
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