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A triangle A B C with A C=20 is inscribed in a circle m . A tangent t to is drawn through B . The distance of t from A is 25 and that from C is 16 . If S denotes the area of the triangle A B C , find the largest integer not exceeding S/20.

Correct answer

10

Step-by-step solution

A= 16 a = a 2 R a^2=32 R Similarly, c^2=50 R So, a c=40 R Now, a b c=800 R=800 ( a b c 4 S ) S=200

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