# So Fierce

Geometry Level 4

$\large \sqrt{b^2-10\sqrt2 b + 51} + \sqrt{c^2-2\sqrt{14} c + 30} \leq 5$

Let the $$b$$ and $$c$$ denote the base and height of a right triangle $$ABC$$, and that they satisfy the constraint above. Let the area of the triangle $$ABC$$ be denoted as $$D$$, find the value of $$D^2$$.

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