If the area of an equilateral triangle is 24 square root 3 metres square then its perimeter is?

6√24 or 29.39metres

Step-by-step explanation:

Area of a triangle is bh/2

The perimeter of an equilateral triangle is 3b

This equilateral triangle can be imagined as two adjoining 30-60-90 triangles. Together, their area is the given 24√3 m²

The base of the individual triangle is √24. The height is √24√3. Multiplying those factors, we get the given area, a proof of sorts, but mure importantly, we can calculate the length of the hypotenuse as 2√24.

sin(30°) = 0.5

√24/(0.5) = 2√24

That is the length of the side of the original equilateral triangle.

The perimeter is 3 times the length of the side:

(3)(2√24) = P

6√24 meters is the perimeter.

a.

step-by-step explanation:

step 1 distribute 2 to every term in the parentheses

step 2 add 10 on both sides of the equal sign