Question

if the area of an triangle is 64√3cm2 then the side of the triangle is​

Answer 1

Given data,

The area of a triangle is $64\sqrt{3} cm^{2}$

Here we have to find the length of the side.

Area of the triangle formula is $\frac{\sqrt{3} }{4} a^{2}$

As we know the value of area.

 $\frac{\sqrt{3} }{4} a^{2}=64\sqrt{3} cm^{2}$

The value $\sqrt{3}$ on both the sides get cancelled.

We get,

$\frac{a^{2}}{4} =64 cm^{2}$

$a^{2} =64\times4$

$a^{2} =256$

$a^{2} =16^{2}$

$a=16$

Therefore, the side of a triangle is $16$.