Question

∆ABC -∆DEF such that AB 9.1 cm and DE = 6.5 cm. If the perimeter of ∆DEF is 25 cm, then what is the perimeter of ∆ABC ?​

Answer 1

$\huge{Question}$

∆ABC -∆DEF such that AB 9.1 cm and DE = 6.5 cm. If the perimeter of ∆DEF is 25 cm, then what is the perimeter of ∆ABC ?

◆Answer

Given, ∆ABC ~ ∆DEF

➡ $\frac{perimeter of ∆ABC}{perimeter of ∆DEF}$ = $\frac{AB}{DE}$

{ the ratio of the perimeters of two similar triangle is the same as the ratio of their corresponding sides}

Let R be the perimeter of ∆ABC

$\small{Then,}$

$\frac{A}{25}$ = $\frac{9.1}{6.5}$

= $\frac{7}{5}$

$\boxed{R = 35}$