Question

Triangle APQ ~ Triangle ABC, AP=2.4cm, AQ = 2cm, QC= 3,
and BC = 6cm, find the length of AB.
​

Answer 1

Answer:

Ab= 6 cm

Step-by-step explanation:

Given :  AP = 2.4 cm, AQ = 2 cm, QC = 3 cm, and BC = 6 cm.

By using Basic proportionality theorem,

AP/PB = AQ/QC

2.4/ PB = 2/3

2 PB = 2.4 x 3  

PB = (2.4×3) /2  

PB = 1.2 × 3  

PB = 3.6 cm

Now, AB = AP + PB

AB = 2.4 + 3.6

AB = 6 cm