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ABC is an isosceles triangle inscribed i...

ABC is an isosceles triangle inscribed in a circle of radius r. If `AB=AC` and h is the altitude form A to BC. If P is perimeter and A is the area of the triangle then find the value of `lim_(hto0)(A)/(P^(3))`.

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To solve the problem, we need to find the limit of the ratio of the area \( A \) of triangle \( ABC \) to the cube of its perimeter \( P \) as the altitude \( h \) approaches 0. ### Step-by-Step Solution: 1. **Understanding the Triangle and Its Properties**: - Let triangle \( ABC \) be isosceles with \( AB = AC \). - The altitude \( h \) from vertex \( A \) to base \( BC \) divides \( BC \) into two equal segments. - The circumcircle of the triangle has a radius \( r \). ...
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