Question

find the area of an equilateral triangle having each of its side as 6cm.​

Answer 1

Answer:

formula =(√3/4)×side^2

Step-by-step explanation:

√3/4×36=9√3

Answer 2

Answer:

9√3

Step-by-step explanation:

As we have given that the triangle is equilateral, so it's obvious that it's all sides are equal.

we know that the formula to find  the area of equilateral triangle

is: $\sf{\sqrt{\frac{3}{4}}a^{2}}$

So,

⇒ √3/4 × 6²

⇒ √3/4 × 36

⇒ 9√3

By, Heron's formula -

Side = $\sf\frac{a+b+c}{2}$

side = $\sf{\frac{6+6+6}{2}}$

side = 9

Now, Area = $\sf\sqrt{s(s-a)(s-b)(s-c)}$

= $\sf\sqrt{9(9-6)(9-6)(9-6)}$

= $\sf{9(3)(3)(3)}$

= $\sf{9*27}$

=$\sf{3*3*3*3*3}$

= $\sf{9\sqrt{3}}$