ΔEFG and ΔHIJ are similar. Also, ∠E = ∠H and ∠F = ∠I. If 3EF = HI and FG = 9 cm, then IJ is equal to ____.

Correct option is B

Given:

​∠E = ∠H and ∠F = ∠I

3EF = HI

FG = 9 cm

Solution:

As ΔEFG and ΔHIJ are similar,

Let's take an example, when EF = 1 unit, then HI = 3 units.

As per the similarity theorem,

​$$\frac{EF}{HI}=\frac{FG}{IJ}=\frac{EG}{HJ}$$​​

Putting the values, we get

​$$\frac{1}{3}=\frac{9}{IJ}$$​​

IJ = 9 $$\times$$​ 3 = 27