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Geometry Level 3

Let P P be interior point of an equilateral triangle A B C ABC such that A P 2 = B P 2 + C P 2 AP^2 = BP^2 + CP^2 . Find angle B P C BPC .


The answer is 150.

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1 solution

HINT to solve this ques is that take the reflection of point P outside the triangle.(Then you will get 1 more equilateral triangle and 1 right angled triangle.thus observe the angle 150 degrees)

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