Question

if triangle abc similar to triangle pqr perimeter of triangle abc/perimeter of triangle pqr= 4/7. Find area of triangle ABC/ area of triangle PQR

Answer 1

Step-by-step explanation:

Given,

∆ABC ~ ∆PQR

and, Perimeter of ∆ABC/Perimeter of ∆PQR = 4/7

∴ Area of ∆ABC / Area of ∆PQR =

$\frac{(perimeter \: of \: abc)^{2}}{(perimeter \: of \: pqr)^{2} } = \frac{(4)^{2} }{(7)^{2} } = \frac{16}{49}$