Question

parameter of an equilateral triangle is 36 cm. find its area​

Answer 1

Given:-

• Perimeter of an equilateral triangle is 36 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,

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

$\implies\:36\:=3a$

$\implies\:a\:=\dfrac{36}{3}$

$\implies\:a\:=12cm$

Now,

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

$\implies\:Area\:=\dfrac{\sqrt{3}}{4}\times12^2$

$\implies\:Area\:=\dfrac{\sqrt{3}}{4}\times144$

$\implies\:Area\:=36\sqrt{3}cm^2$

or,

$\implies\:Area\:=36\times1.732$

$\implies\:Area\:=62.352cm^2$

Hence, The Area of given equilateral triangle is 36√3cm² or 62.352cm².

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Answer 2

Step-by-step explanation:

SOLUTION ✍️

_______________________________

Perimeter = 3a where a is the side of the equilateral triangle.

• 36cm = 3a

side =12 cm

area =√3÷4 a2 = √3÷4×144.

• √336cm2

area of triangle = 1÷2 base × height.

• 36√3= 6cm× height .

height= 36√3÷6= 6√3= 1.732× 6.

• 10.4 cm

hope this helps you!!