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13. -/1 points find the area of an equilateral triangle with side of le…

Question

  1. -/1 points find the area of an equilateral triangle with side of length 18.

Explanation:

Step1: Recall area formula

The area formula for an equilateral triangle is $A = \frac{\sqrt{3}}{4}s^{2}$, where $s$ is the side - length.

Step2: Substitute side - length value

Given $s = 18$, substitute it into the formula: $A=\frac{\sqrt{3}}{4}\times18^{2}$.
First, calculate $18^{2}=324$. Then $A=\frac{\sqrt{3}}{4}\times324 = 81\sqrt{3}$.

Answer:

$81\sqrt{3}$