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

Tags

CCSS.HSG.CO.C.10

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

Tags

CCSS.HSG.CO.C.10

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

Tags

CCSS.HSG.CO.C.10

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

Tags

CCSS.HSG.CO.C.10

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

Tags

CCSS.HSG.CO.C.10