Q5. - Geometry

Question

Find the area of each figure:

An equilateral triangle with sides $8ft$

Step-by-Step Solution

Answer

The area of given figure is$16\sqrt{3}$ square units.

Step 1. Given information.

The side of an equilateral triangle$a=8$ .

Step 2. Concept used.

Area of equilateral triangle can be found using the formula 

$A=\frac{\sqrt{3}}{4}{a}^2$

Where, 

$a=$Side of an equilateral triangle.

Step 3. Find the area of given figure.

$A=\frac{\sqrt{3}}{4}{a}^2$

$=\frac{\sqrt{3}}{4}{\left(8\right)}^2$     

   $A=\sqrt{3}\times 8\times 2$  

   $=16\sqrt{3}$   Square units.

Therefore, the area of given figure is$16\sqrt{3}$ square units.