Question

If the perimeter of an equilateral triangle is 180cm. Then its area will be​

Answer 1

Answer:

Perimeter of △ABC= 180cm. So the side of an equilateral triangle is 60cm. Area of the equilateral triangle is given as Area = √34x2 where x is the side of the equilateral triangle. Hence the area of the triangle is 1558.84cm2.

Answer 2

Answer:⤵️

1558.84 cm^2

Step-by-step explanation:⤵️

perimeter equilateral triangle

= 180 cm

let,

side of equilater triangle = a

then,

a+a+a = 180 cm

=> 3a = 180 cm

=> a = 60 cm

then,

half perimeter of triangle (s) = 180/2

=> S =90 cm

then, by heron's rule,

area of equilater triangle

= √{s(s-a)(s-a)(s-a)}

= √{90×30×30×30}

= √2430000

= 1558.84 cm^2