MathDB
2017 VTRMC #4

Source:

August 8, 2018
geometry

Problem Statement

Let PP be an interior point of a triangle of area TT. Through the point PP, draw lines parallel to the three sides, partitioning the triangle into three triangles and three parallelograms. Let aa, bb and cc be the areas of the three triangles. Prove that T=a+b+c \sqrt { T } = \sqrt { a } + \sqrt { b } + \sqrt { c } .
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