Question

In ∆ ABC, P and Q are points on sides AB and AC respectively such that, PQ || BC, if AP = 12 cm, PB = 8 cm, AQ = 9 cm, Find AC​

Answer 1

Answer:

AC = 15 cm

Step-by-step explanation:

PQ||BC

By basic proportionality theorem

AP/PB = AQ/QC

12/8 = 9/QC

Cross multiply

8 × 9 = 12 QC

QC = 72/12

QC = 6 cm

AC = AQ + QC

AC = 9 + 6

AC = 15 cm