Question

The perimeter of equilateral triangle is 60 m, than its area is​

Answer 1

Given :-

Perimeter of an equilateral triangle = 60 m

To Find :-

Each side of the equilateral triangle.

The area of the equilateral triangle.

Analysis :-

First find the sides of the triangle by the formula of each side.

Next calculate the area by substituting the values in formula of area of an equilateral triangle.

Solution :-

By the formula,

$\underline{\boxed{\sf Perimeter \ of \ a \ triangle=3 \times side}}$

Let the side be 'x'

Given that,

Perimeter = 60 m

Substituting their values,

60 = 3x

x = 60/3

x = 20 m

Therefore, each side of the triangle is 20 m

By the formula,

$\underline{\boxed{\sf Area=\sqrt{s(s-a)(s-b)(s-c)} }}$

Substituting their values,

$\sf Area=\sqrt{30(30-20)(30-20)(30-20)}$

$\sf Area=30 \times 10 \times 10 \times 10$

$\sf Area=10 \times 10\sqrt{3}$

$\sf Area=100\sqrt{3} \ m^{2}$

Therefore, the area of the equilateral triangle is 100√3 m²

Answer 2

Answer:

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