D and E are points on the sides AB and AC respectively of a ΔABC such that DE || BC.

Question

D and E are points on the sides AB and AC respectively of a ΔABC such that DE || BC. If and AC = 6.6 cm, find AE.

Philoid · Accepted Answer

Given: AD/DB = 4/7 or AD = 4 cm, DB = 7 cm, and AC = 6.6

Applying Thale’s Theorem,

We have AE at RHS but we need AC, as the value of AC is given. So by adding 1 to both sides of the equation, we can get the desired result

⇒

⇒ EC = 4.2

AE is given by,

AE = AC – EC

⇒ AE = 6.6 – 4.2

⇒ AE = 2.4

Hence, AE is 2.4 cm.