Question

If perimeter of an equaliteal trangle is 48find its area

Answer 1

Perimeter of equilateral triangle=48

so its sides are a+a+a=48

3a=48

a=48/3

a=16

So, sides of equilateral triangle are 16cm, each

Now, area of equilateral triangle=√3/4 a^2

√3/4×16×16

64√3cm

So,its area is 64√3cm