Question

ΔABC is such that AB=3 cm, BC= 2cm, CA= 2.5 cm. If ΔABC ~ ΔDEF and EF = 4cm, then perimeter of ΔDEF is

Answer 1

Answer:

15

Step-by-step explanation:

In ABC

AB = 3 cm

BC = 2 cm

AC = 2.5 cm

perimeterof triangle = sum of all sides =3+2+2.5 = 7.5 cm

Triangle DEF is similar to triangle ABC

corresponding side of EF in triangle ABC is BC = 2 cm

Theorem: The ratio of the side of similar triangle is equal to the ratio of the perimeter of corresponding triangle

so, let the perimeter of triangle DEF be x

so, 4/5 = x/ 7.5

4 x 7.5 /2 = x

15 =x