Parallel Tangent

Geometry Level 2

In ABC,\triangle ABC, AB=6AB=6 , BC=4BC = 4 and AC=8. AC=8. A segment parallel to BC \overline{BC} and tangent to the incircle of ABC\triangle ABC intersects AB\overline{AB} at MM and AC\overline{AC} at NN.

If MN=abMN=\dfrac{a}{b}, where aa and bb are co-prime positive integers, what is the value of a+ba+b ?

×

Problem Loading...

Note Loading...

Set Loading...