If its perimeter of an equilateral triangle is $180$ cm, what will be its area?

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Solution

Let $a$ be side
So, $3 a = 180 c m ⟹ a = 60 c m$
Area $= \frac{\sqrt{3}}{4} a^{2} = \frac{\sqrt{3}}{4} \times 60^{2} = 900 \sqrt{3}$
Area $= 1558.84 c m^{2}$

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

Let a be side So, 3a=180 cm⟹a=60 cmArea=√34a2=√34×602=900√3Area=1558.84 cm2

If its perimeter of an equilateral triangle is $180$ cm, what will be its area?

Let $a$ be side
So, $3 a = 180 c m ⟹ a = 60 c m$
Area $= \frac{\sqrt{3}}{4} a^{2} = \frac{\sqrt{3}}{4} \times 60^{2} = 900 \sqrt{3}$
Area $= 1558.84 c m^{2}$