Question

∆ABC is such that AB = 3cm, BC = 2cm, CA = 2.5cm. If ∆ABC ~ ∆DEF and EF = 4cm, then perimeter of ∆DEF is ______.

Options

• 7.5cm

• 15cm

• 22.5cm

• 30cm

Answer 1

∆ABC is such that AB = 3cm, BC = 2cm, CA = 2.5cm. If ∆ABC ~ ∆DEF and EF = 4cm, then perimeter of ∆DEF is 15cm.

Explanation:-

`"perimeter of ∆ABC"/"perimeter of ∆DEF"="BC"/"EF"`

`7.5/"perimeter of ∆DEF"=2/4`

So perimeter of ∆DEF = 15cm