In ΔABC, and . Points D and E are on and such that with . Points F and G are also on…

MATHEMATICS · Multi-part · CBSE · Mathematics · Triangles · Triangles

Problem

In ΔABC,

AB=15\,\text{cm}

and

AC=25\,\text{cm}

. Points D and E are on

AB

and

AC

such that

DE\parallel BC

with

AD=9\,\text{cm}

. Points F and G are also on

AB

and

AC

respectively, nearer to A, such that

FG\parallel BC

and

AF=6\,\text{cm}

. (i) Find

AE

. (ii) Find

AG