Question

In triangle ABC, D and E are points on sides AB and AC such that DE || BC if AD=2.5cm, BD=3cm, AE=3.75cm. Find the length of AC.

Answer 1

Well we can apply Basic proportionality Theorem.

Since DE ║ BC => Sides are proportional and the angles are equal.

=> AD / BD = AE / EC

=> 2.5 / 3 = 3.75 / EC

Cross multiplying we get,

=> EC * 2.5 = 3.75 * 3

=> EC * 2.5 = 11.25

=> EC = 11.25 / 2.5

=> EC = 4.5 cm

AC = AE + EC

=> AC = 3.75 + 4.50

=> AC = 8.25 cm

Hence the measure of AC is 8.5 cm.

Hence solved !

Answer 2

Hey there !

See the above attachment !

Thank you