Question

In a triangle ABC, P and Q are the points on the sides AB
and AC, respectively. such that PQ || BC. If AP = 4 cm, BP
= 6 cm and PQ = 3 cm then side BC will be:???
(i) 4.5 cm (ii) 6 cm (iii) 10 cm (iv) 7.5 cm​

Answer 1

Step-by-step explanation:

In △ABC, PQ∥BC

So, by proportionality theorem

AP/PB=AQ/QC=PQ/BC

4/6=AQ/QC= 3/BC

=>4/6 = 3/BC

∴ BC=4.5cm