Question

An equilateral triangle has an apothem measuring 2.16 cm and perimeter of 22.45 cm. What is the area of the triangle, round to the nearest tenth?

Answer 1

1/2(22.45 * 2.16)=24.1

Answer 2

Answer:
`24.2\ cm^2`

Explanation:

Given: The measure of apothem of equilateral triangle =2.16 cm

The perimeter of equilateral triangle = 22.45

Since, we know that an equilateral triangle is a regular polygon with all sides equal.

The area of a regular polygon is given by :-

`A=(1)/(2)*\text{apothem*perimeter}\\\\\Rightarrow\ A=(1)/(2)(2.16*22.45)\\\\\Rightarrow\ A=24.246\approx24.2\ cm^2`

Hence, the area of the triangle =
`24.2\ cm^2`