MathDB
Problem 5

Source: Paraguayan Mathematical Olympiad 2006

July 22, 2015
geometry

Problem Statement

Let ABCABC be a triangle, and let PP be a point on side BCBC such that BPPC=12\frac{BP}{PC}=\frac{1}{2}. If ∡ABC\measuredangle ABC == 45∘45^{\circ} and ∡APC\measuredangle APC == 60∘60^{\circ}, determine ∡ACB\measuredangle ACB without trigonometry.
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