Question

if it's perimeter of an equilateral triangle is 180cm, what will be it's area?

Answer 1

Answer:

Step-by-step explanation:

a=x ,b=x,c°x

a+b+c=180

x+x+x= 180

3x=180

x= 180/3

x= 60

a=60,b=60,c=60

Answer 2

Answer:

$Area\: of \\: equilateral \: triangle (A)\\ =900\sqrt{3}\:cm^{2}$

Step-by-step explanation:

$Let\: side\: of \: an \\\: equilateral \: triangle = a \: cm$

$Perimeter \: of \: the \: triangle\\ (P) = 180\:cm \: (given)$

$\implies 3a = 180\:cm$

$\implies a = \frac{180}{3}$

$\implies a = 60\:cm$

$Area\: of \: an\\ \: equilateral \: triangle (A) =\frac{\sqrt{3}}{4}\times a^{2}$

$=\frac{\sqrt{3}}{4}\times 60^{2}\\=\frac{\sqrt{3}}{4}\times 60\times 60\\=\frac{\sqrt{3}}{4}\times 60\times 15\\=900\sqrt{3} \:cm^{2}$

Therefore,

$Area\: of \\ \: equilateral \: triangle (A)\\ =900\sqrt{3}\:cm^{2}$

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