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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

Verified Answer :

khankareem

The answer is 6.25√3

Answer:

Option B :  \(6.25\sqrt{3}\) square inches.

Step-by-step explanation:

The area of an equilateral triangle is given by :

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

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 : \(\frac{\sqrt{3}}{4}\times5^{2}\)

Simplifying this we get, \(\sqrt{3}\times\frac{25}{4}\)

Area = \(6.25\sqrt{3}\) square inches.

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