Question

The parameter of an equilateral triangle is 60 m then what is its area

Answer 1

Answer:

400m²

Step-by-step explanation:

The perimeter of the triangle = 60m

The length of each side = 60/3 = 20m

Area of the equilateral triangle = a*a = 20*20 = 400m²

Answer 2

Given:-

• Perimeter of an equilateral triangle is 60 cm.

To Find:-

• It's Area

Formula used:-

• ${\boxed{Perimeter\:of\: Equilateral\: Triangle\:=3a}}$

• ${\boxed{Area\:of\: Equilateral\: Triangle\:=\dfrac{\sqrt{3}}{4}a^2}}$

Solution:-

Firstly,

$\implies\:Perimeter\:=3a$

$\implies\:60\:=3a$

$\implies\:a\:=\dfrac{60}{3}$

$\implies\:a\:=20cm$

Now,

$\implies\:Area\:=\dfrac{\sqrt{3}}{4}a^2$

$\implies\:Area\:=\dfrac{\sqrt{3}}{4}\times20^2$

$\implies\:Area\:=\dfrac{\sqrt{3}}{4}\times400$

$\implies\:Area\:=100\sqrt{3}cm^2$

or,

$\implies\:Area\:=100\times1.732$

$\implies\:Area\:=173.2cm^2$

Hence, The Area of given equilateral triangle is 100√3cm² or 173.2cm².

━━━━━━━━━━━━━━━━━━