Question

D and E are point on the side AB and AC of triangle ABC such that DE || BC .if AD/DB =3/4 , AC = 5.6 cm find AE​

Answer 1

It is given that AD=6 cm, DB=9 cm and AE=8 cm.

Using the basic proportionality theorem, we have

AB

AD

=

AC

AE

=

BC

DE

⇒

AB

AD

=

AC

AE

⇒

15

6

=

AC

8

⇒6AC=15×8

⇒6AC=120

⇒AC=

6

120

=20

Hence, AC=20 cm.