Question

An equilateral triangle has a side length of 10 units. what is its area?

Answer 1

Area of equilateral triangle = 43.3 units^2

Explanation:

An equilateral triangle is a triangle in which all three sides of triangle are equal.

So,Length = 10 units

Area of triangle =
`(√(3) )/(4)*(side)^2`

=
`(√(3) )/(4)*(10)^2`

=
`(√(3) )/(4)*(100)`

=
`43.3units^2`

So, Area of equilateral triangle = 43.3 units^2.

Answer 2

Hello!

The answer is:

The area of the triangle is equal to
`A=43.30units^(2)`

Why?

To calculate the area of an equilateral triangle, we need to use the following formula:

`A=(s^(2) *√(3))/(4)`

Now, we are given an equilateral triangle, so we know that all of its sides are equal to 10 units.

So, calculating the area we have:

`A=(s^(2) *√(3) )/(4)\\\\A=((10units)^(2) *√(3) )/(4)\\\\A=(100units^(2) *√(3) )/(4)=43.30units^(2)`

Have a nice day!