A rectangle and an isosceles triangle are inscribed in a circle with a radius of 1. The rectangle has height, h, and base, b. For what value of h are the areas of the rectangle and triangle the same?
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4tran2008-09-08 19:35
>>5
I think there's a much easier way to do this problem.
h = rectangle height, H = triangle height, b = shared base
area of rectangle = hb = Hb/2 = area of triangle
h = H/2
2h = H
Draw the perpendicular bisector of the rectangle's height.
It is clear that H = r + h/2