Question

If the area of an equilateral triangle is 36√3 sq.cm. Find its perimeter.​

Answer 1

Given that :

Area of an equilateral triangle = 36√3 cm^2

As we know that :

Area of an equilateral triangle = √3/4(side)^2

ATQ :

$\frac{ \sqrt{3} }{4} {a}^{2} = 36 \sqrt{3} \\ \\ = > {a}^{2} = 36 \times 4 \\ \\ = > a = \sqrt{36 \times 4} \\ \\ = > a = \sqrt{6 \times 6 \times 2 \times 2} = 6 \times 2 = 12$

So, the side of equilateral triangle will be 12 cm.

Now, perimeter of equilateral triangle = 3 × side

=> Perimeter = 3 × 12 = 36 cm. ✔✔

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Hope it helps ☺

Fóllòw Më ❤