Question

the perimeter of an equilateral triangle is 60m. the area is

Answer 1

Answer:

Perimeter of equilateral triangle =3×side unit

60=3×sides m

Side=20 m

Now, areaof Equilateral triangle =√3/4 ×side²unit²

=√3/4×20×20m²

=100√3 m²

Answer 2

Answer: 173.21  $m^{2}$

Step-by-step explanation:

An equilateral triangle has equal sides. And as we know, perimeter is sum of all the sides of any polygons so

Let, a side of the equilateral triangle be x m. Then,

Perimeter of equil. traingle = 3a

or, 60 = 3a

⇒ a = 20 m

∴ Area of the equilateral triangle = ($\sqrt{3}$/ 4) * $a^{2}$ = ($\sqrt{3}$/ 4) * $20^{2}$ = 173.21  $m^{2}$