Question

An equilateral triangle has a perimeter of 60 meters and s height of 17.3 meters. What is the area of the triangle

Answer 1

The area of the triangle is 173 squared meters.

Explanation:

An equilateral triangle has all sides equal to each other.

Finding the length of each side of the triangle.

Like I said before, in an equilateral triangle all the sides are equal. The perimeter of a triangle is every side added together. Since each side is equal, you will divide 60 (the perimeter) by 3 (the number of sides).

`(60)/(3) = 20`

Each side is equal to 20 meters.

Finding the area of the triangle

To find the area of a triangle you need the formula:
`A = (1)/(2) bh`

A is the area, b is the base, and h is the height.

b = 20

h = 17.3

`A=(1)/(2) (20)(17.3)` Multiply what is in the parenthesis first

`A = (1)/(2) (346)` Multiply 346 by 1

`A = (346)/(2)` Divide 346 by 2

`A = 173`

Answer 2

A = 173 m²

Explanation:

P = 60m = 3L => L = 60 : 3 = 20 m

A = L×h/2 = 20m×17.3m/2 = 10m×17.3m = 173 m²