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

Respuesta :

Answer:

A = 173 m²

Step-by-step explanation:

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

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

Answer:

The area of the triangle is 173 squared meters.

Step-by-step 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).

[tex]\frac{60}{3} = 20[/tex]

Each side is equal to 20 meters.

Finding the area of the triangle

To find the area of a triangle you need the formula: [tex]A = \frac{1}{2} bh[/tex]

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

b = 20

h = 17.3

[tex]A=\frac{1}{2} (20)(17.3)[/tex] Multiply what is in the parenthesis first

[tex]A = \frac{1}{2} (346)[/tex] Multiply 346 by 1

[tex]A = \frac{346}{2}[/tex] Divide 346 by 2

[tex]A = 173[/tex]

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