Question

find the Area of equilateral triangle whose perimeter is 15m.​

Answer 1

Answer:

Step-by-step explanation:

In an equilateral triangle, all sides are equal and all angles are 60 degrees. This means that if you cut the triangle in half by the altitude(also the height in an equilateral triangle), you get 230−60−90 triangles(those are the angle measures). These triangles have the relationship:

The 15 meter height is the x√3 side. To find x, divide by √3.

15√3⋅√3⇒15√33=5√3

x=5√3, so 2x=10√3

That is one side of the equilateral triangle, and 10√3⋅3=30√3.

That is the perimeter.