# 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. - Mathematics

Sum

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.

#### Solution

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.

Concept: Triangles Examples and Solutions
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#### APPEARS IN

RD Sharma Class 10 Maths
Chapter 7 Triangles
Q 9 | Page 125