Question

Dam hai to solve Kar net Se mat search Karna beta. question =
The area of an equilateral triangle is numeri-
cally equal to its perimeter. Find its perimeter
correct to 2 decimal places.​

Answer 1

Solution :

Let, each side of the triangle = a units

Then, area of it = (√3)/4 * a² unit²

and perimeter = 3a units

Given,

(√3)/4 * a² = 3a

or, (√3)/4 * a = 3 [a ≠ 0]

or, a = 12/√3

or, 3a = (3 * 12)/√3

or, 3a = 12√3

or, 3a = 12 * 1.732...

or, 3a = 20.784...

or, 3a ≈ 20.78 (2D places)

∴ required perimeter of the triangle is 20.78 cm (2D places). ( Ans. )