Question

The area of an equilateral triangle is numeri-
cally equal to its perimeter. Find its perimeter
correct to 2 decimal places. ​

Answer 1

It is given...

Area of equilateral triangle = Perimeter of equilateral triangle

=> √3/4 a^2 = 3a

=> a = 4×3/ √3

=> a = 12/√3

=> a = 4√3

Now, perimeter = 3a = 3 × 4√3 = 12× 1.732 = 20.78...