# Nasty Triangles 5

Geometry Level 4

Given $$\triangle ABC$$, $$AD$$ and $$BE$$ are angle bisectors of $$\angle BAC$$ and $$\angle ABC$$ respectively, if $$AB=21$$, $$BC=24$$, $$AC=15$$, find the length of $$DE^2$$.

This is one part of 1+1 is not = to 3.

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