Question

AE=2cm,BE=3cm,AC=15cm and find AF​

Answer 1

Answer:

In △ABC, DE is parallel to BC

Thus, DE divides the two sides AB and AC proportionally.

Thus,

AB

AD

=

AC

AE

Thus, △ABC∼△ADE

AD

AB

=

AE

AC

=

DE

BC

[C.S.C.T.]

Now,

AE

AC

=

DE

BC

⇒DE=

AC

AE×BC

⇒DE=

5

2×10

[ ∵AC=(AE+EC)=2+3=5]

⇒DE=4 cm