Question

A side of an equilateral triangle is 36 yd long, What is the area of the triangle?Do not round any intermediate computations, and round your answer to the nearest tenth,

Answer 1

Answer:

The area of the given triangle is 561.2 sq. yd

Explanation:

The area of an equilateral triangle is given as:

$A=\frac{\sqrt[]{3}}{4}l^2$

Where l is the length of the side. Here, l = 36 yd

$\begin{gathered} A=\frac{\sqrt[]{3}}{4}(36)^2 \\ \\ =\frac{\sqrt[]{3}}{4}(1296) \\ \\ =324\sqrt[]{3} \\ \approx561.2 \end{gathered}$