Triangle Inequality Theorem Quiz

According to the Triangle Inequality Theorem, which set of side lengths can form a triangle?

• 1, 8, 24

• 25, 35, 12

• 52, 37, 42

• 41, 7, 35

If you have two sides of a triangle measuring 14 and 22 units, which of the following could be the length of the third side?

• 8 units

• 36 units

• 7 units

• 35 units

For a triangle with sides of 11 and 3 units, what is the range of possible lengths for the third side?

• Less than 8 units

• Between 8 and 14 units

• More than 14 units

• Exactly 11 units

Given a triangle with side lengths of 15 ft and 27 ft, which of the following is NOT a possible length for the third side?

• 34 ft

• 12 ft

• 29 ft

• 43 ft

If a triangle has side lengths of 45 cm and 9 cm, which of the following lengths cannot be the length of the third side?

• 35 cm

• 58 cm

• 47 cm

• 39 cm

In a triangle, the smallest angle is always opposite which side?

• The longest side

• The shortest side

• The side with the same length as the angle

• The side adjacent to the angle

In a triangle, the largest angle is always opposite which side?

• The shortest side

• The side with the same length as the angle

• The side adjacent to the angle

• The longest side

Order the angles from least to greatest for the triangle with sides of 10 ft, 7 ft, and 13 ft.

• Angle A < Angle C < Angle B

• Angle B < Angle A < Angle C

• Angle C < Angle B < Angle A

• Angle B < Angle C < Angle A

Order the sides from least to greatest for the triangle with angles of 42°, 103°, and the remaining angle.

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Which of the following represents the correct order of the angles from least to greatest in the triangle with sides labeled N, M, and L?

• Angle M < Angle P < Angle N

• Angle N < Angle P < Angle M

• Angle P < Angle N < Angle M

• Angle P < Angle M < Angle N