4-7 Classwork Equilateral (PRE)

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

How do you find the value of x in an equation?

Back

To find the value of x, isolate x on one side of the equation using algebraic operations such as addition, subtraction, multiplication, or division.

Front

If the angles of a triangle are 60 degrees each, what type of triangle is it?

Back

It is an equilateral triangle.

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

How do you calculate the area of an equilateral triangle?

Back

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

Front

What is the relationship between the angles in a triangle?

Back

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

Front

If one angle of a triangle is 60 degrees and the other two angles are equal, what are their measures?

Back

Each of the other two angles measures 60 degrees, making it an equilateral triangle.

Front

What is the length of a side of an equilateral triangle if its perimeter is 99?

Back

The length of each side is 33, since the perimeter P = 3a, thus a = P/3.

Front

How do you solve for x in the equation 2x + 4 = 10?

Back

Subtract 4 from both sides to get 2x = 6, then divide by 2 to find x = 3.

Front

What is the value of x in the equation 3x - 9 = 0?

Back

Add 9 to both sides to get 3x = 9, then divide by 3 to find x = 3.