Measures of 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 measures of the other two angles?

Back

The other two angles are also 60 degrees each.

Front

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

Back

The area A of an equilateral triangle with side length s is given by the formula A = (sqrt(3)/4) * s^2.

Front

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

Back

In an equilateral triangle, all sides are equal, and all angles are equal to 60 degrees.

Front

How do you find the length of a side of an equilateral triangle if you know the area?

Back

To find the side length s from the area A, use the formula s = sqrt((4A)/sqrt(3)).

Front

What is the height of an equilateral triangle in terms of its side length?

Back

The height h of an equilateral triangle with side length s is h = (sqrt(3)/2) * s.

Front

If the side length of an equilateral triangle is 12, what is the perimeter?

Back

The perimeter P of an equilateral triangle is P = 3 * s. For s = 12, P = 36.

Front

What is the measure of each angle in an equilateral triangle?

Back

Each angle in an equilateral triangle measures 60 degrees.

Front

How do you determine if a triangle is equilateral?

Back

A triangle is equilateral if all three sides are equal in length.