Triangle Inequality Theorem and Triangle Sum

Triangle sum theorem and triangle inequalities

Open Ended

1) How many sides does a triangle have?

2) How many angles does a triangle have?

3) How many degrees do the angles in a triangle add up to?

Multiple Choice

Find the measure of the angle indicated.

• 139°

• 66°

• 138°

• 116°

Multiple Choice

What is the measure of angle x?

• 45

• 60

• 65

• 75

Multiple Choice

If <a = 63* and <b = 88*, what is the measure of <c?

• 29*

• 30*

• 90*

• 180*

Multiple Choice

Solve for x.

• 44^o

• ^-14o

• -7^o

• 63^o

Multiple Choice

Can the sides of a triangle have lengths 3, 4, and 9?

• Yes
• No

Multiple Choice

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

• Yes
• No
• I don't know.

Multiple Choice

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

Multiple Choice

Identify the smallest angle.

• ∠K

• ∠L

• ∠M

Multiple Choice

List the side measures in order, shortest to longest.

• QM, QP, MP
• MQ, MP, QP
• MP, MQ, QP