Question

Given ∆ABC ~ ∆PQR, If BC/QR = 2/5, Then perimeter of (∆ABC)/ perimeter of ( ∆PQR) =?​

Answer 1

Perimeter of ABC / perimeter of PQR = BC /QR
=> Perimeter of ABC / perimeter of PQR =2/5

Answer 2

Given:

∆ABC ~ ∆PQR

BC/QR = 2/5

Find perimeter of (∆ABC)/ perimeter of ( ∆PQR) =?​

• We know that the ratio of the perimeter of two similar triangle is equal to the ratio of their corresponding sides.
• So perimeter of ∆ABC and perimeter of ∆PQR is equal to the ratio of their side BC and QR

So here

$\frac{Perimeter \ of \triangle \mathrm{ABC} }{Perimeter \ of \triangle \mathrm{PQR} }=\frac{BC}{QR}$

$\frac{Perimeter \ of \triangle \mathrm{ABC} }{Perimeter \ of \triangle \mathrm{PQR} }=\frac{BC}{QR}=\frac{2}{5}$

Hence the answer is 2/5cm