contestada

The length of a side in an equilateral triangle is 5 inches. Find the area of the triangle.

5√3 square inches
6.25√3 square inches
12.5√3 square inches

Respuesta :

The answer is 6.25√3

Answer:

Option B :  [tex]6.25\sqrt{3}[/tex] square inches.

Step-by-step explanation:

The area of an equilateral triangle is given by :

A = [tex]\frac{\sqrt{3}}{4}a^{2}[/tex]

Where, a is the side of the triangle.

Here in the question, we have been given the side of the triangle as 5 inches.

So, area is : [tex]\frac{\sqrt{3}}{4}\times5^{2}[/tex]

Simplifying this we get, [tex]\sqrt{3}\times\frac{25}{4}[/tex]

Area = [tex]6.25\sqrt{3}[/tex] square inches.