Question

the area of two similar triangle are 121 cm square and 64 cm square respectively.what is the ratio of their corresponding sides.

Answer 1

$\bf{\huge{\boxed{\underline{\mathcal{Answer:}}}}}$

Given:-  Area of Δ ABC = 121cm,

              Area of Δ EFG = 64 cm.

As mentioned in the question the two triangles are similar triangles, we know that : When two triangles are similar, the ratio of areas of those two triangles is equal to the ratio of the square of their corresponding sides.

$\bf\large\frac{A(ΔABC)}{A(ΔEFG) }$ = $\bf\large\frac{AB^2}{EF^2}$ $\bf\underbrace{AB\:and \:EF \:are \:corresponding \:sides}$

$\bf\large\frac{121}{64}$ =  $\bf\large\frac{AB^2}{EF^2}$

$\bf\large\frac{11}{8}$ =$\bf\large\frac{AB}{EF}$

•°• the ratio of corresponding sides of the Δ = 11:8