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if a triangle is inscribed in a circle so that one of the triangle's sides is a diameter of the circle, what is the greatest area that the triangle can have in terms of the radius, r, of the circle?

User Arlind
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Since the formula for the area of a triangle is 1/2 * base * height.

V = 1/2 b * h, in our case b = 2r - the diameter => V = r * h, and since h can only be between 0 and r => V = r^2

User Daanvn
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