MathDB
2014 Geometry #3: External Angle Bisector

Source:

February 25, 2014
geometryangle bisectorarea of a triangleHeron's formula

Problem Statement

ABCABC is a triangle such that BC=10BC = 10, CA=12CA = 12. Let MM be the midpoint of side ACAC. Given that BMBM is parallel to the external bisector of ∠A\angle A, find area of triangle ABCABC. (Lines ABAB and ACAC form two angles, one of which is ∠BAC\angle BAC. The external angle bisector of ∠A\angle A is the line that bisects the other angle.
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