One Many No Triangles

In a triangle, if angle A is 45 degrees, angle C is 45 degrees, and line AB is 5 cm, how many triangles can you create?

• one unique triangle

• multiple triangles

• no triangles

How many triangles can be created when you know all three angles?

• Only 1 unique triangle

• multiple triangles

• no triangles

How many triangles can be created when you know two sides and one non-included angle?

• Only 1 unique triangle

• multiple triangles

• no triangles

Which set of side lengths will NOT make a triangle?

• 3, 4, 5

• 1, 3, 4

•  3, 5, 7

• 2, 8, 9

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.

Find the missing angle.

• 29° 

• 39° 

• 49° 

• 59° 

Which of these lengths CANNOT represent the sides of a triangle?

• 32, 34, 60

• 28, 30, 58

• 13, 20, 27

• 2, 4, 5

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

• Only 1 unique triangle

• multiple triangles

• no triangles

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

• Yes

• No

• I don't know.