If $ riangle PQR \sim riangle ABC$; $PQ = 6$ cm, $AB = 8$ cm and the perimeter of $ riangle ABC$ is $36$ cm, then the perimeter of $ riangle PQR$ is

Question

If $	riangle PQR \sim 	riangle ABC$; $PQ = 6$ cm, $AB = 8$ cm and the perimeter of $	riangle ABC$ is $36$ cm, then the perimeter of $	riangle PQR$ is

Accepted Answer

Step 1: Since $	riangle PQR \sim 	riangle ABC$, $\frac{	ext{Perimeter of } 	riangle PQR}{	ext{Perimeter of } 	riangle ABC} = \frac{PQ}{AB} = \frac{6}{8} = \frac{3}{4}$. Perimeter of $	riangle PQR = \frac{3}{4} 	imes 36 = 27$ cm.

Question

Solution