What are the differences between scalene and equilateral triangles?

What are the differences between scalene and equilateral triangles?

Scalene triangles have all sides of different lengths, while equilateral triangles have all sides equal.

Can you give me examples of each type of triangle?

Sure! An example of a scalene triangle is one with sides measuring 3, 4, and 5 units. An equilateral triangle could have all sides measuring 6 units.

What are the properties of these triangles?

Scalene triangles have no equal angles, while equilateral triangles have three equal angles of 60 degrees each.

How do you calculate the area of each type?

For a scalene triangle, you can use Heron's formula. For an equilateral triangle, the area is calculated as ( \frac{\sqrt{3}}{4} \times a^2 ), where ( a ) is the length of a side.