Triangle Inequality Theorem

Which of the following is an example of the Triangle Inequality Theorem?

• The sum of the lengths of any two sides of a triangle must be greater than the length of the third side.

• The sum of the lengths of any two sides of a triangle must be less than or equal to the length of the third side.

• The sum of the lengths of any two sides of a triangle must be less than the length of the third side.

• The sum of the lengths of any two sides of a triangle must be equal to the length of the third side.

Which of the following is an application of the Triangle Inequality Theorem?

• Determining the perimeter of a triangle

• Determining if a set of side lengths can form a triangle

• Calculating the area of a triangle

• Finding the sum of the angles in a triangle

What is the sum of the two shortest sides of a triangle if the longest side is 10 and the triangle satisfies the Triangle Inequality Theorem?

• Not determinable

• Greater than 10

• Equal to 10

• Less than 10

Which of the following is an application of the Triangle Inequality Theorem?

• Determining if three given side lengths can form a triangle

• Determining the volume of a rectangular prism

• Solving a system of linear equations

• Finding the area of a circle

What is the range of possible third side measures using 10 and 15?

• 9 < x < 16

• 10 < x < 15

• 1 < x < 5

• 5 < x < 25

The Inequality Theorem uses what part of a triangle?

• Side lengths

• Perimeter

• Area

• Angle measures

The lengths of two sides are given (27, 39). What are the possible length of the third side? Between what two numbers

• Between 12 and 66

• Between 27 and 39

• Between 12 and 67