Triangle Inequalities

Does a triangle with these side lengths exist?
15, 12, 9

• Yes
• No
• I don't know.

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

• 9
• 12
• 8
• 5

Where would the largest angle of a triangle be located?

• Across from the longest side.
• Across from the shortest side
• I need more information to get an answer.

Two sides of a triangle have side lengths of 17 meters and 12 meters.  What is the range of possible lengths for the third side?

• 12 < x < 17
• 12 < x < 29
• 5 < x < 17
• 5 < x < 29

Which two angles are the remote interior angles to Angle W?

• Angle X and Angle Y

• Angle X and Angle Z

• Angle Y and Angle Z

• Angle Z and Angle W

Name the angles from SMALLEST to LARGEST

• Q, R, P
• P, Q, R
• R, P, Q
• R, Q, P

Name the angles from LARGEST to SMALLEST

• R, S, T
• S, T, R
• S, R, T
• T, S, R

Name the sides from SMALLEST to LARGEST

• RS, ST, TR
• ST, RT, RS
• RT, ST, RS
• RT, RS, ST

Name the sides from LARGEST to SMALLEST

• KJ, KH, JH
• JH, KH, KJ
• KH, KJ, JH
• KH, JH, KJ

Can a triangle be formed with side lengths:
4, 7, 10

• yes
• no
• not enough information