Question

if triangle ABC and triangle DEF are similar. area of triangle ABC and area of triangle DEF are in the ratios 9:25,if BC=21cm then EF is equal to _______​

Answer 1

Step-by-step explanation:

Ar ABC : Ar DEF = 9 : 25

since , triangle ABC is similar to triangle DEF , therefore side BC will be similar to Side EF

BC : EF = √9 : √25 => BC : EF = 3 : 5

let constant ratio be "x" then

BC = 3x , EF = 5x

given , BC = 21 cm

3x = 21 => x = 7

EF = 5x = 5 × 7 = 35cm Answer

Answer 2

Ar ABC : Ar DEF = 9 : 25

since , triangle ABC is similar to triangle DEF , therefore side BC will be similar to Side EF

BC : EF = √9 : √25 => BC : EF = 3 : 5

let constant ratio be "x" then

BC = 3x , EF = 5x

given , BC = 21 cm

3x = 21 => x = 7

EF = 5x = 5 × 7 = 35cm Answer