MathDB
obtuse angle of isosceles triangle when 2 angle bisectors have ratio 2:1

Source: 2019 Dürer Math Competition Finals Day2 E10 https://artofproblemsolving.com/community/c1621835_2019_

January 5, 2022
geometryangle bisectorratioangles

Problem Statement

In an isosceles, obtuse-angled triangle, the lengths of two internal angle bisectors are in a 2:12:1 ratio. Find the obtuse angle of the triangle.