A geometry problem by Fd MÓòn

Geometry Level 3

If $ABC$ is a triangle with $D, E$ and $F$ being the mid points of the sides $AB, BC$ and $CA$ , then what is the ratio of the areas of triangle $DEF$ and triangle $ABC$ ?

1:8 1:1 4:1 1:2 1:4 1:3

1 solution

Kamalpreet Singh
Feb 1, 2016

On introducing the required DEF triangle, in given triangle ABC, we are remained with four smaller triangles which are congruent to triangle DEF. Therefore, the required ratio is 1:4

A geometry problem by Fd MÓòn

1 solution

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