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<ABC <90^o when | BP | > | AP |, | BP | > | CP |, P interior of ABC

Source: 2011 (-12) Swedish Mathematical Competition 2

September 1, 2020
geometryacutegeometric inequality

Problem Statement

Given a triangle ABCABC, let PP be a point inside the triangle such that ∣BP∣>∣AP∣,∣BP∣>∣CP∣| BP | > | AP |, | BP | > | CP |. Show that ∠ABC<90o\angle ABC <90^o
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