Equilateral Triangles

Front

What is an equilateral triangle?

Back

An equilateral triangle is a triangle in which all three sides are of equal length and all three angles are equal, measuring 60 degrees each.

Front

What is the sum of the interior angles of a triangle?

Back

The sum of the interior angles of any triangle is always 180 degrees.

Front

If one angle of an equilateral triangle is 60 degrees, what are the other two angles?

Back

The other two angles are also 60 degrees each.

Front

How do you classify a triangle with all sides equal?

Back

A triangle with all sides equal is classified as an equilateral triangle.

Front

What is the relationship between the sides and angles in an equilateral triangle?

Back

In an equilateral triangle, the sides are equal in length, and the angles are equal in measure (60 degrees each).

Front

What is the formula for finding the area of an equilateral triangle?

Back

The area (A) of an equilateral triangle can be calculated using the formula: A = (sqrt(3)/4) * a^2, where 'a' is the length of a side.

Front

What is the length of each side of an equilateral triangle if the perimeter is 48?

Back

Each side would be 16, since the perimeter is the sum of all three equal sides (48/3 = 16).

Front

What type of triangle is formed by connecting the midpoints of an equilateral triangle?

Back

Connecting the midpoints of an equilateral triangle forms another equilateral triangle.

Front

What is the height of an equilateral triangle with a side length of 10?

Back

The height (h) can be calculated using the formula: h = (sqrt(3)/2) * a, so h = (sqrt(3)/2) * 10 = 5sqrt(3) or approximately 8.66.

Front

What is the relationship between the circumradius and the side length of an equilateral triangle?

Back

The circumradius (R) of an equilateral triangle is R = a/(sqrt(3)), where 'a' is the length of a side.