Question

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

Answer 1

Answer: 4 : √3 is the required ratio

Step-by-step explanation:

side of both triangle and square is 'a'

so there is a derived formula for equilateral triangle

area of Δ = √3 / 4 × a²

area of square = a²

required ratio will be a²/(√3 / 4 × a²)

we will get 1/(√3 / 4) left = 4 / √3

so ratio = 4 : √3