How Many Triangles Can You Make With Given Conditions

If you are given two sides of a triangle what will be true?

• You can make infinitely many unique triangles.

• You can't make any triangles with this information.

• You can only make one unique triangle.

• You can only make 2 unique triangles.

If you are given three angles of a triangle what will be true?

• You can make infinitely many unique triangles.

• You can't make any triangles with this information.

• You can only make one unique triangle.

• You can only make 2 unique triangles.

If angle A is 45 degrees, angle B is 45 degrees, and line AB is 5 cm, how many triangles can you create?

• Only 1 unique triangle

• Multiple triangles

• No triangles

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

• One unique triangle

• Multiple triangles

• No triangles

How many different triangles can you make if you are given these measurements?

• 0

• 1

• 2

• 3

• Infinitely many

How many different triangles can you make if you are given these measurements?

• 0

• 1

• 2

• 3

• Infinitely many

Which of these conditions can create a triangle?

• m∠A=90°, m∠B=40°, m∠C=60°

• m∠A=30°, m∠B=80°, m∠C=70°

• AB=3cm, BC=4cm, CA=10cm

• AB=8cm, BC=6cm, CA=9cm

How many triangles does this make?

• One unique triangle

• More than one triangle

• No triangles

How many triangles does this make?

• One unique triangle

• More than one triangle

• No triangles

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

• Only 1 unique triangle

• multiple triangles

• no triangles