4-7 Classwork Equilateral (REG)

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, each measuring 60 degrees.

Front

What is the formula for the perimeter of an equilateral triangle?

Back

The perimeter P of an equilateral triangle with side length a is given by P = 3a.

Front

If the side length of an equilateral triangle is 8, what is its perimeter?

Back

The perimeter is 24 (P = 3 * 8).

Front

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

Back

All angles in an equilateral triangle are equal and each measures 60 degrees.

Front

How do you find the height of an equilateral triangle?

Back

The height h can be found using the formula h = (√3/2) * a, where a is the side length.

Front

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

Back

The height is 6√3 (h = (√3/2) * 12).

Front

What is the area of an equilateral triangle?

Back

The area A can be calculated using the formula A = (√3/4) * a².

Front

If the side length of an equilateral triangle is 10, what is its area?

Back

The area is 25√3 (A = (√3/4) * 10²).

Front

What is the significance of the centroid in an equilateral triangle?

Back

The centroid is the point where the three medians intersect, and it is also the center of mass of the triangle.

Front

What is a median in the context of a triangle?

Back

A median is a line segment joining a vertex of the triangle to the midpoint of the opposite side.