Question

find the area of an equilateral triangle whose perimeter is 180​

Answer 1

If it helps you then Mark me as a brain liest

Answer 2

Perimeter of triangle is given as 180cm.

Each side is of 60cm.

Therefore by Heron's Formula.

Area of Triangle =

$\sqrt{s(s - a)(s - b)(s - c)}$

Here, s= (a+b+c)/2

60+60+60=180

180/2= 90

$\sqrt{90(90 - 60) (90 - 60) (90 - 60)}$

$\sqrt{90(30)(30)(30)}$

$30 \times 30 \times 30 \times 30 \times 30$

$30 \times 30 \sqrt{30}$

$900 \sqrt{30}$

Therefore, Area of triangle is 900√30 cm.

Hope it helps ✌✌☺☺