IN TRIANGLE ABC, BC = 56, CA = 25 AND AB = 39. D AND E ARE POINTS O...

7.

In triangle ABC, BC = 56, CA = 25 and AB = 39. D and E are points on BC such

that BD = BA and CE = CA. The bisector of

∠

B meets AD at F, and the bisector

of

∠

C meets AE at G. Determine the length of FG.

A

G

F

B

E

D

C

Answer :

What is the sum of the areas of triangles ABM, CDM and EFM?

E

D

F

C

M

A

B