Question

A circle is inscribed in a triangle ABC such that it

touches the sides BC, CA and AB at D, E and F

respectively as shown in the figure. If BC = 5 cm

and AB + AC = 13 cm, then AE equals​

Answer 1

the tangents from a same point is equal in length

=>AC =BC

AC+AB=13

BC+AB=13

=>AB=8cm