Question

In the given diagram ΔABC ~ ΔEFG. If ∠ABC = 2 EFG = 60°, then the length of the side FG is ______.

Options

• 15 cm

• 20 cm

• 25 cm

• 30 cm

Answer 1

In the given diagram ΔABC ~ ΔEFG. If ∠ABC = 2 EFG = 60°, then the length of the side FG is 15 cm.

Explanation:

Since the triangles ΔАBС ~ ΔЕFG 

Then, we know that,

∠ABC = ∠EFG = 60°.

AB = 15 cm, BC = 3 cm and EF = 75 cm

`(AB)/(EF) = (BC)/(FG)`

`15/75 = 3/(FG)`

`FG = (75 × 3)/15`

= 15cm