Question

∆ABC ~ ∆ DEF, If DE = 2 AB and BC = 3 cm then EF is equal to _____​

Answer 1

$\huge\underline\red{Answer:-}$

∆ABC ~ ∆ DEF, If DE = 2 AB and BC = 3 cm then EF is equal to 6.

STEP BY STEP EXPLANATION:-

⟹ AB/DE= BC/EF

⟹ AB/2AB = 3/EF

⟹ EF= 3×2

⟹ EF=6.✔

_________________________

Answer 2

Given:

∆ABC ~ ∆ DEF in which DE = 2 AB and BC = 3 cm.

To Find:

The side EF.

Solution:

To find the side EF we will follow the following steps:

As we know,

By Rule of triangle SSS(side-side-side) we have:

$\frac{AB}{DE} = \frac{BC}{EF}$

Now,

By putting the values in the above formula we get,

$\frac{AB}{2AB} = \frac{3}{EF}$

$EF = 6 \: cm$

Henceforth, the side EF is 6 cm.