Question

The side of an equilateral triangle is 10cm find its area

Answer 1

Area = √3/4 a²  = √3/4  x 100  =25√3 cm²

Thanks

Answer 2

Given ---
Side of an equilateral triangle = 10 cm

To find ---
Area of the triangle

We know that, area of equilateral triangle = √3/4 a², where a is the length of the side.

Then,

Area of the triangle =
$\frac{ \sqrt{3} }{4} \times {10}^{2}$

$= \frac{ \sqrt{3} }{4} \times 100$

$= \sqrt{3} \times 25$

$= 25 \sqrt{3}$

Hence, area of the ∆ = 25√3 cm²

$\red {Hope \: it'll\: help..}$:-)