Question

perimeter of an equilateral triangle is 180 cm what will be its area

Answer 1

Answer:

1558.84 square cm .

Step-by-step explanation:

Formula of perimeter of equilateral triangle = $3 \times side$

Since we are given that perimeter of an equilateral triangle is 180 cm

So, $180 = 3 \times side$

$60=side$

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

where a is the side of the triangle

So,  Area of equilateral triangle = $\frac{\sqrt{3}}{4} (60)^2$

                                                    = $1558.84 cm^2$

Hence the area of the equilateral triangle is 1558.84 square cm .