Question

IF THE AREA OF A EQUILATERAL TRIANGLE IS 25√3 cm^2 Find it's perimeter

Answer 1

Answer:

ANSWER IS 30cm

Step-by-step explanation:

area of the triangle = $\sqrt{3}$/4 a² cm²

                      25$\sqrt{3}$ = $\sqrt{3}$/4 a²

                             a²= 100

                             a  =10cm

Perimeter 3a=3×10

                     =30cm

Answer 2

Concept

The area of an equilateral triangle is given by the formula-

Area = $\sqrt{3}$/4 ($side^{2}$)

And the perimeter of the equilateral triangle is 3 times its side.

Given

An equilateral triangle with area 25$\sqrt{3}$ sq cm

Find

We need to find the perimeter of the given equilateral triangle

Solution

We have,

area of the equilateral triangle = 25$\sqrt{3}$

Area = $\sqrt{3}$/4 (side) (side)

25$\sqrt{3}$ = $\sqrt{3}$/4 ($side^{2}$)

25 * 4 = $side^{2}$

100 = $side^{2}$

10 = side

Thus, each side of the triangle is 10 cm

Now, perimeter of the triangle will be-

3 * 10 = 30 cm

Thus, the perimeter of the given triangle is 30 cm

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