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Geometry Level 4

A B C ABC is an equilateral triangle. P P is a point in the interior of the triangle such that A P 2 = B P 2 + P C 2 AP^2 = BP^2 +PC^2 . Find the measure of angle B P C BPC . Give your answer in degrees.


The answer is 150.

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Arpan Sarangi by Arpan Sarangi , 21, India

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1 solution

Ahmad Saad
Jan 13, 2016

5 Helpful 1 Interesting 0 Brilliant 0 Confused

Great style in solving this. The idea of 90 between BP and CP is good idea.that geometrically demonstrating is super. It is genius act. We could also get this by taking special case. But P is any point.

nagarjuna reddy - 5 years, 5 months ago

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