Focusing on Incenters #2

Geometry Level 4

Suppose that △ A B C \triangle ABC has incenter I I and that B I , C I BI, \ CI meet A C , A B AC, \ AB at D , E D, \ E respectively. Suppose further that the bisector of ∠ B I C \angle BIC meets B C , D E BC, \ DE at P , Q P, \ Q respectively, and that P I = 2 Q I PI = 2QI . Find the value of ∠ B A C \angle BAC in degrees.


The answer is 60.

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Satyajit Mohanty by Satyajit Mohanty , 24, India

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1 solution

Ahmad Saad
Nov 16, 2015

1 Helpful 0 Interesting 0 Brilliant 1 Confused

How can you tell PQ,EF,DG, are medians....

Alisina Zayeni - 3 years, 5 months ago

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