One Many or None Triangles

Given three angle measures, how many triangles can you create?

• One unique triangle

• Multiple triangles

• No triangles

How many triangles can be created with the side lengths of 3 cm, 4cm, and 5 cm?

• Only 1 unique triangle

• multiple triangles

• no triangles

How many triangles exist with the following angle measures?

100°, 100°, 50°

• No triangle exists with the given angle measures.

• More than one triangle exists with the given angle measures.

• Exactly one unique triangle exists with the given angle measures.

Which set of side lengths will make a triangle?

• 6, 8, 13
• 7, 9, 18
• 7, 7, 14
• 2, 6, 9

Does a triangle with these side lengths exist?
33, 16, 17

• Yes
• No
• I don't know.

How many triangles exist with the given angle measures?  55°, 45°, 90°

• No triangle exists
• Exactly one unique triangle exists
• More than one triangle exists

How many triangles exist with the following angle measures?
80°, 50°, 50°

• No triangle exists with the given angle measures.
• More than one unique triangle exists with the given angle measures.
• Exactly one unique triangle exists with the given angle measures.

Which set of side lengths will NOT make a triangle?

• 3, 4, 5
• 1, 3, 4
•  3, 5, 7
• 2, 8, 9