Question

The perimeter of any equilateral triangle is 48 cm find the area of that triangle

Answer 1

Answer:

perimeter of equilateral triangle= 3a

48 cm = 3a

side of equilateral triangle= 48/3

= 16

area of equilateral triangle = 16 ×16 ×16

= 4096 sq.cm

Answer 2

Answer:

64$\sqrt{3$ or 110.85

Step-by-step explanation:

Since it is a equilateral triangle, all the sides are equal.

Given,

P= 48cm

Let a be the side of the equilateral triangle

Then a = 48/3   [Since Perimeter of an equilateral triangle is 3a]

a= 16 cm

Area of an equilateral triangle = $\frac{\sqrt{3} }{4} a^{2}$

Area of the equilateral triangle = $\frac{\sqrt{3} }{4} 16^{2}$

= √3×64

=64√3

=110.85