The two sides of the triangle are $10$ and $15$. Prove that the length of the bisector of the angle between them is less than $12$.
Problem
Source: V.A. Yasinsky Geometry Olympiad 2017 VIII-IX advanced p3 [Ukranie]
Tags: geometry, angle bisector
Source: V.A. Yasinsky Geometry Olympiad 2017 VIII-IX advanced p3 [Ukranie]
Tags: geometry, angle bisector
The two sides of the triangle are $10$ and $15$. Prove that the length of the bisector of the angle between them is less than $12$.