Triangle Inequality Review

Which set of numbers represents the side lengths of a triangle?

• {5,18,13}

• {6,17,22}

• {16,24,7}

• {26,8,15}

Select the measurements that match the sides of a triangle.

• 7, 9, 19

• 7, 12, 1

• 7, 7, 7

• 7, 7, 16

Does a triangle with these
side lengths exist?
(Don't fall for this one.)
0, 11, 12

• Yes

• No

• I don't know.

Can the following lengths be made into a triangle?
4 cm,  7 cm,  2 cm

• Yes

• No

• 180º

• Complementary

Two sides of a triangle are 14 cm and 19 cm.  What is a possible length for the third side?

• 5 cm

• 11 cm

• 33 cm

• 40 cm

Order the sides of the triangle from shortest to longest.

• UV, UT, VT

• UV, VT, UT

• VT, UT, UV

• VT, UV, UT

Order the sides of the triangle from longest to shortest.

• KL, ML, KM

• KL, KM, ML

• KM, ML, KL

• KM, KL, ML

Order the angles from smallest to largest.

• ∠D, ∠E, ∠C

• ∠D, ∠C, ∠E

• ∠C, ∠E, ∠D

• ∠C, ∠D, ∠E

Which of the following is a possible  length for segment AC

• 10

• 15

• 17

• 9

Can a triangle be formed with line segments that have lengths 2, 8 and 14 units?

• No, because these line segments wouldn't satisfy the triangle inequality theorem

• No, because there are only two sides to a triangle

• Yes, because these line segments satisfy the triangle inequality theorem

• Yes, because 8< 14