Question

in ana adjoining figure de||bc bd=7cm ad=5cm and ac=18cm then find ae and ac​

Answer 1

It is given that DE∣∣AB,AD=7 cm, CD=5 cm and BC=18 cm.

Using the basic proportionality theorem, we have

CA

CE ⇒CA CD =

CB=CE

⇒12 .5

CE=18

⇒18×5=12CE

⇒12CE=90

⇒CE=12/90

=7.5

Since CE=7.5 cm, therefore,

CB=CE+EB

⇒18=7.5+EB

⇒EB=18−7.5=10.5

Hence, BE=10.5 cm and CE=7.5 cm