In , a line through on and on is parallel to . If , and , find…

MATHEMATICS · Single correct · IGCSE · Maths · Geometry · Geometry

Problem

\triangle ABC

, a line through

D

AB

and

E

AC

is parallel to

BC

. If

AD=3\,\text{cm}

DB=5\,\text{cm}

and

AC=12\,\text{cm}

, find

AE

. (a)

7.5\,\text{cm}

(b)

9\,\text{cm}

(c)

4.5\,\text{cm}

(d)

3\,\text{cm}