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area chasing, ratios in a triangle related (HOMC 2019 JI-8)

Source:

November 7, 2020
geometryratioarea of a triangleareas

Problem Statement

Let ABCABC be a triangle, and MM be the midpoint of BCBC, Let NN be the point on the segment AMAM with AN=3NMAN = 3NM, and PP be the intersection point of the lines BNBN and ACAC. What is the area in cm2^2 of the triangle ANPANP if the area of the triangle ABCABC is 4040 cm2^2?
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