Question

In ∆ABC, P and Q are points on sides AB and AC respectively such that PQ || BC. If AP = 3 cm, PB = 5 cm and AC = 8 cm, find AQ.

Answer 1

In Δ ABC, P and Q are points on sides AB and AC respectively such that  `PQ|| BC`

Then we have

`(AP)/(AB)=(AQ)/(AC)`

AP = 3cm ,PB = 5cm ,AC = 8cm and AB = cm

`3/8=(AQ)/8`

`3/cancel8=(AQ)/cancel8`

`3= AQ`

Hence the value of AQ is 3 cm.