Question

The area of an equilateral triangle is 81√3 sq cm. Find its height.

Answer 1

Given

▪ Area of equilateral traingle = $\sf{81\sqrt {3}cm^2}$

To Find

▪ Height = ?

• According To Given Question

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

$\sf{: \implies 81 \sqrt{3} = {a}^{2} }$

$\sf{:\implies (81 \times 4) {cm}^{2} }$

$\sf{: \implies a = \sqrt{196} }$

$\sf{:\implies \underline{\boxed{\red{\bf {a = 18 \: cm}}}}}$