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Let O and H be the circumcenter and orthocenter of triangle ABC, respectively. Let a, b, c and  denote the side lengths as in the picture below:


Find OH if the circumradius is equal to 7 and a^2 + b^2 + c^2 = 432.

 Apr 8, 2019
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OH = 5*sqrt(2).

 Dec 1, 2019

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