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

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Solution

Side of equilateral triangle $= \frac{p e r i m e t e r}{3}$
$= \frac{180}{3}$ cm
$= 60 c m$
$∴$ Area of triangle $= \frac{\sqrt{3} a^{2}}{4}$
$\begin{matrix} = \frac{\sqrt{3} \times 60 \times 60}{4} = \frac{3600 \sqrt{3}}{4} = 900 \sqrt{3} \end{matrix}$
Area of equilateral triangle is $900 \sqrt{3}$ .

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

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