Question

the area of an equilateral triangle is 4✓3 cm square.its perimeter is?​

Answer 1

Answer:-

We know,

Area of an equilateral triangle = $\sf{\frac{\sqrt{3}}{4}s^2}$

Let the side be = $\sf{ x}$

$\sf{\therefore \frac{\sqrt{3}}{4} x^2 = 4 \sqrt{3}}$

$\sf{ \implies x^2 = 4 \sqrt{3} \times \frac{4}{\sqrt{3}}}$

$\sf{ \implies x^2 = 4^2}$

$\sf{{ \implies x = 4}}$

Now,

We know,

Perimeter of an equilateral triangle = $\sf{3s}$

$\sf{ \therefore Perimeter = 3(4 \ c.m.) = 12 \ c.m.}$ (Answer)

More:-

Area of triangle:-

• $\sf{\frac{1}{2} \times b \times h}$
• $\sf{ \sqrt{s(s-a)(s-b)(s-c)}}$

Area of an isosceles triangle:-

• $\sf{\frac{b}{2} \sqrt{a^2 - \frac{b^2}{4}}}$

a = 2 equal sides; b = third unequal side

Task for you: Recall the formula of the area of equilateral triangle!