MathDB
2014 Geometry #8: Tangent to the Circumcircle

Source:

February 25, 2014
geometrycircumcircletrigonometryanalytic geometrygraphing lines

Problem Statement

Let ABCABC be a triangle with sides AB=6AB = 6, BC=10BC = 10, and CA=8CA = 8. Let MM and NN be the midpoints of BABA and BCBC, respectively. Choose the point YY on ray CMCM so that the circumcircle of triangle AMYAMY is tangent to ANAN. Find the area of triangle NAYNAY.
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