Geometry Triangle Inequalities

Can a triangle be formed with side lengths:

24, 9, 30

• yes

• no

• not enough information

What is a possible third side to a triangle with side lengths of 13 and 4?

• 9

• 12

• 8

• 5

Which is NOT a possible measure for ∠DCB?

• 27º

• 30º

• 34º

• 35º

The lengths of two sides of a triangle are 5 in and 16 in. What is the range of possible lengths for the third side?

• 11 in < x < 21 in

• x > 0

• 11 or 21

• 5 < x < 16

A triangle has side lengths 6 and 10.

Which choice CANNOT be the length of the third side?

• 5

• 11

• 15

• 17

List the angles of the triangle in order from smallest to largest: ΔXYZ, where XY = 12, YZ = 24, ZX = 30

• ∡Z, ∡X, ∡Y

• ∡X, ∡Y, ∡Z

• ∡Z, ∡Y, ∡X

• ∡Y, ∡Z, ∡X

List the sides of the triangle in order from shortest to longest: ΔDEF, with m∡D = 20, m∡E = 120, and m∡F = 40

• EF, DE, DF

• DE, DF, EF

• DF, DE, EF

• DF, EF, DE

Can a triangle have sides with the given lengths:

4 m, 5 m, 9 m

• Yes

• No

Can a triangle have sides with the given lengths?

• Yes

• No