How to prove that diameter of the circle within isosceles trapezoid is a geometric mean of bases?
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Originally Posted by Garas How to prove that diameter of the circle within isosceles trapezoid is a geometric mean of bases? You are dealing with 2 similar right triangles. Use proportions: $\displaystyle \dfrac{\frac c2}{r} = \dfrac{r}{\frac a2}~\implies~a\cdot c = 4r^2$ Calculate the square-root at both sides which yields the given result.
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