Quadrilateral inside Triangle

Geometry Level 4

In ABC\triangle ABC, A=90\angle A = 90^\circ, AC=3AC = 3 and AB=4AB=4. CDCD is the angle bisector of ACB\angle ACB. Point EE on ACAC is such that CE=AECE=AE. CDCD and BEBE intersect at MM. If the area of quadrilateral ADME=abADME= \dfrac ab, where aa and bb are positive coprime integers, find a+ba+b.

×

Problem Loading...

Note Loading...

Set Loading...