Chapter 5.5

Front

Define 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

What is the range of possible lengths for the third side of a triangle if two sides are 17 meters and 12 meters?

Back

The range is 5 < x < 29.

Front

List the conditions that must be satisfied for three lengths to form a triangle.

Back

The lengths must satisfy the Triangle Inequality Theorem: a + b > c, a + c > b, and b + c > a.

Front

What does it mean for a set of lengths to NOT represent a triangle?

Back

It means that at least one of the Triangle Inequality conditions is violated.

Front

Name the sides of a triangle from smallest to largest if the lengths are 3 cm, 5 cm, and 7 cm.

Back

3 cm, 5 cm, 7 cm.

Front

What is the definition of a scalene triangle?

Back

A scalene triangle is a triangle in which all three sides have different lengths.

Front

What is the definition of an isosceles triangle?

Back

An isosceles triangle is a triangle that has at least two sides of equal length.

Front

What is the definition of an equilateral triangle?

Back

An equilateral triangle is a triangle in which all three sides are of equal length.

Front

If the angles of a triangle are 30°, 60°, and 90°, what type of triangle is it?

Back

It is a right triangle.

Front

How do you determine if a set of lengths can form a triangle?

Back

Check if the sum of the lengths of any two sides is greater than the length of the third side.