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.

Which set of side lengths will form a triangle?

• 3, 6, 12

• 7, 7, 14

• 9, 9, 9

• 13, 6, 7

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.

Lian builds model boats. He has three leftover pieces that are 2 in., 3 in., and 4 in. long. How many triangles can he form?

• one unique triangle

• more than one triangle

• no triangle

• two 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

How many triangles does this make?

• One unique triangle

• More than one triangle

• No triangles

Which of these conditions can create a triangle?

• m∠A=60°, m∠B=60°, m∠C=60°

• m∠A=20°, m∠B=80°, m∠C=30°

• AB=9cm, BC=7cm, CA=23cm

• AB=12cm, BC=17cm, CA=11cm

How many triangles does this make?

• One unique triangle

• More than one triangle

• No triangles

AB = 10 cm

BC = 11 cm

AC = 9 cm

• Unique Triangle (1 triangle)

• More than one triangle

• Not Possible ( 0 triangles)