Question

ΔABC ~ ΔPQR, If AB = 3.6, PQ = 2.4, PR = 5.4, then AC = 

(A) 3.6 

(B) 8.1 

(C) 5.4 

(D) 7.8

Answer 1

Correct option is (B) 8.1

Given that \(\triangle ABC \sim \triangle PQR\)

Then their corresponding sides are in the same ratio           

\(\therefore\) \(\frac{AB}{PQ}=\frac{AC}{PR}\)

\(AC=\frac{AB}{PQ}\times PR\)

\(=\frac{3.6}{2.4}\times5.4\)      \((\because AB=3.6,PQ=2.4\;\&\;PR=5.4)\)

\(=\frac{0.3}{0.2}\times5.4\)

\(=3\times2.7=8.1\)

Answer 2

Correct option is: (B) 8.1