MathDB
<C= ? if <B=45^o and BP : PC =1 : 2, APC = 60^o , without trigonometry

Source: 1963-64 Germany R4 12.5 https://artofproblemsolving.com/community/c3208025_

October 12, 2024
geometryangles

Problem Statement

A triangle ABCABC with β=45o\beta= 45^o is given. There is a point PP on side BCBC, where BP:PC=1:2BP : PC =1 : 2 (inner division) and ∠APC=60o\angle APC = 60^o. Someone claims that you can do it with elementary geometric theorems alone without using the plane trigonometry, the size of the angle γ\gamma determine.
Back to ProblemsView on AoPS