# Parallelogram inside Triangle!

Calculus Level 5

Given a acute angled triangle $$ABC$$ with sides $$a=10,b=11,c=12$$ . $$D,E,F$$ are interior points of the sides $$BC,CA,AB$$ respectively so that $$AFDE$$ is a parallelogram. Let the maximum area of the parallelogram be $$X$$.

Then $$\lfloor 100X \rfloor$$ is -

$$a,b,c$$ are standard notations denoting sides of triangle.

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