Question

if the perimeter of an equilateral triangle is 180 cm what will be its area

Answer 1

Hey mate here is your answer

Using formula
A= √3/4 a square
p = 3 a
solving the problem
A = √3 p square / 36 = √3 . 180 square /36
= 1558.84573 cm square

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Answer 2

Answer:

$\LARGE \mapsto\color{orange}QUESTION :$

➡ If the perimeter of an equilateral triangle is 180 cm what will be its area?

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GIVEN :

Perimeter of equilateral∆ = 180 cm

We know that,

All sides of equilateral triangle are equal ...

So, let one side of the ∆ = a cm

$\leadsto \: a + a + a = 18 \\ \leadsto \: 3a = 180 \\ \leadsto \boxed {a \: = 60cm}$

Now,

$\color{orange}\small \: Area \: of \: equilateral \: triangle = \frac{\sqrt{3} {a}^{2} }{4}$

By substituting in the above formula, you will arrive at the answer..

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hope it helps....