Question

in traingle ABC,DE||BC.if AD=5cm BD=7cm and AC=18cm, find the length of AE​

Answer 1

Answer: AE=7.5cm

Step-by-step explanation:

It is assumed that the point D lies on AB and the point E lies on AC.

Draw a figure with given data

Let's AE=Xcm

then EC=(18-X)cm, AD=5cm, BD=7cm

we have AE/EC=AB/BD.....(By Proportionality Theorem)

X/18-X=5/7

7X=5(18-X)

7X=90-5X

7X+5X=90

12X=90

X=90/12

X=7.5cm