Question

please tell me fast​

Answer 1

$\bf{\huge{\fbox{\overbrace{\red{ANS}{\blue{WER}}}}}}$

Given :

Measurement of the side of an equilateral triangle is 12 cm.

Required to find :

1. Area of the triangle

Conditions Mentioned :

• Use the Heron's Formula.

Solution :

Before solving this question we should have some knowledge about the Heron's formula

Heron's Formula

$\textbf{\orange{ herons \: formula = \sqrt{s(s - a)(s - b)(s - c)}}}$

Here ,

S represents semi perimeter.

a,b,c represents three respective sides of the triangle.

I think you may be wondering about what is semi perimeter ?.

Let me help you understand what is meant by semi perimeter !

Semi- perimeter

The word semi perimeter itself says that half of the perimeter .

Hence , semi-perimeter is nothing but 2 divided with the perimeter .

For example : semi perimeter of a,b,c is a+b+c / 2.

Now let's coming to the question .

To use the formula first we need to find the value of the semi perimeter .

So,

Semi perimeter of the equilateral triangle is side+side+side/2.

Hence,

Semi perimeter = 12+12+12/2

= 36/2

$\bold{\implies{18}}$

Now , using this semi perimeter we are going to find the area of the triangle.

Therefore, substitute the respective values in the formula .

Hence we get ,

$\sqrt{18(18 - 12)(18 - 12)(18 - 12)} \\ = \sqrt{18 \times 6 \times 6 \times 6} \\ = \sqrt{3888} \\ = 62.3538 \\ = 62.35c {m}^{2} (approximately)$

Therefore,

Area of the equilateral triangle is 62.35cm^2 .