Question

14. The perimeter of an eqilateral triangle is 24 m , find its area​

Answer 1

Answer:

Perimeter of an equilateral triangle: 3xside

24 = 3 x side

side = 24/3 = 8 cm²

1. Area of an equilateral triangle: √3a2/4

= √3 × 8 cube x 64/4

= √3 16

or 27.7 (approximately)

Hope that helped! :)

Answer 2

Question

14. The perimeter of an equilateral triangle is 24 m , find its area ?

Solution

Given :-

• The perimeter of an equilateral triangle 24 m

Find :-

• Area of equilateral triangle

Explanation

Using Formula

★ Perimeter of equilateral triangle = Sum of all side

★ Area of equilateral triangle = √3*(Side)²/4

So, We know

All Side of equilateral triangle be same

So, Let, Side be = x

Then,

==> Perimeter of equilateral triangle = x + x + x

==> 24 = 3x

==>x = 24/3

==>x = 8

Hence

• All side of equilateral triangle will be = 8 m

________________

Now, Calculate Area of equilateral triangle

==> Area of equilateral triangle = √3 * (Side)²/4

==> Area of equilateral triangle = √3 *(8)²/4

==> Area of equilateral triangle = √3 * 8 * 8/4

==> Area of equilateral triangle = √3 * 2 * 8

==> Area of equilateral triangle = 16√3 m²

Since

• Area of equilateral triangle will be = 16√3 m²

_________________