MathDB

2

Part of 2011 Swedish Mathematical Competition

Problems(1)

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

Source: 2011 (-12) Swedish Mathematical Competition 2

9/1/2020
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
geometryacutegeometric inequality