Find the area!

Geometry Level 3

In any triangle A B C ABC , points D D , E E and F F are the midpoints of A B , B C AB, BC and A C AC and from which perpendiculars are dropped on sides A B , B C AB, BC and A C AC .The area of triangle A B C ABC is 20 square units. Find the area of the polygon D H E I F G DHEIFG .


The answer is 10.

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1 solution

Michael Mendrin
Nov 27, 2015

As a special case, equilateral triangle ABC can be tessellated into 12 identical triangles, 6 of which can make up the hexagon.

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