Front

Which side lengths would NOT form a triangle?

Back

The side lengths must satisfy the triangle inequality theorem: the sum of the lengths of any two sides must be greater than the length of the third side. For example, {2,5,9} does not satisfy this condition.

Front

What is the triangle inequality theorem?

Back

The triangle inequality theorem states that for any triangle, the sum of the lengths of any two sides must be greater than the length of the third side.

Front

Find x, then the measure of AC: If AC = 4x + 8 and x = 2, what is AC?

Back

AC = 4(2) + 8 = 16.

Front

Order the sides from least to greatest: DE, VE, DV

Back

The order is DE, VE, DV.

Front

How do you compare two side lengths?

Back

To compare two side lengths, you can use the triangle inequality theorem or measure them directly if possible.

Front

If NM = 5 and MP = 7, which side is longer?

Back

MP is longer.

Front

What is the definition of a triangle?

Back

A triangle is a polygon with three edges and three vertices.

Front

What are the types of triangles based on side lengths?

Back

1. Equilateral: all sides are equal. 2. Isosceles: two sides are equal. 3. Scalene: all sides are different.

Front

What is the formula for the area of a triangle?

Back

Area = 1/2 * base * height.

Front

What is a right triangle?

Back

A right triangle is a triangle that has one angle measuring 90 degrees.