Question

In figure,D is a point on BC such that angle abd=angle cad
IF ab=5cm,Ad=4cm and Ac =3cm Find BC,DC ​

Answer 1

consider triangle ABC and triangle DAC

by AA criteria, they are similar

so AB / AD = BC / AC
5/4 = BC/3
15/4 cm = BC

similarily AC/DC= AB/AD
3/DC = 5/4
3 = 5DC/4
12/5 = DC