Question

Find the area of an equilateral triangle of side
20 cm​

Answer 1

Answer:

Side of equilateral triangle = 20 cm

Area of equilateral triangle = $\frac{ \sqrt{3} }{4} {(side)}^{2} = \frac{ \sqrt{3} }{4} \times {20}^{2} = \frac{ \sqrt{3} }{4} \times 400 = 100 \sqrt{3} {cm}^{2}$

The area of the triangle is 100√3 cm².

Answer 2

Answer:

Hence, value of area of equilateral triangle having side 20 cm will be $100{\sqrt{3}} \:cm^2$

Step-by-step explanation:

In context to question asked,

We have to determine the value of area of equilateral triangle.

As per data given in the question,

We have,

Side of equilateral triangle = 20 cm

As we know that,

Equilateral triangle is that particular triangle whose all sides are equal.

As we have,

Formula for finding the area of equilateral triangle -

$Area = \frac{{\sqrt{3}}}{4}\:side^2$

So, for determining the value of area of equilateral triangle, we will put the value of side of triangle in above formula,

So, we will get it as,

$Area = \frac{{\sqrt{3}}}{4}\:side^2\\Area = \frac{{\sqrt{3}}}{4} \times 20 \times 20\\=>Area ={\sqrt{3}} \times \frac{20 \times 20}{4}\:cm^2\\Area =100{\sqrt{3}} \:cm^2$