The ratio of the area of an equilateral triangle and that of a square is \sqrt3 : 2. If the length of a diagonal of the square is 60 cm, then the perimeter of the triangle is.

SSC CGL Model Paper 17

Question : 55 of 99

Marks: +1, -0

The ratio of the area of an equilateral triangle and that of a square is

√3 : 2

. If the length of a diagonal of the square is 60 cm, then the perimeter of the triangle is.

Solution:

ATQ,

{√3/4a^2}/s^2=√3/2

a=√2\s

Also, diagonal

=√2s =60\cm

⇒a=60\cm

Perimeter = 3a = 3 × 60 = 180 cm

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