# Limit of triangle in a circle

Calculus Level 5

$$\triangle ABC$$ is an isosceles triangle inscribed in a circle of radius $$10$$. If $$AB=AC$$, then evaluate $$\displaystyle \lim_{h \to 0} \frac {\phi}{P^{3}}$$, where $$h$$ is altitude from point $$A$$ to $$BC$$, $$\phi$$ is area of triangle and $$P$$ is perimeter of triangle. If the answer is $$\dfrac {X}{Y}$$, then find the value of $$XY$$

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