Conditions of Triangle

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

Can you form a unique triangle, more than one triangle, or no triangle with angles that measure 50°, 90°, and 110°?

• one unique triangle

• more than one triangle

• no triangle

Which set of conditions describe no triangle? Check all that apply.

• side lengths 2 m, 8 m, and 9 m

• one right angle and one 100° angle

• two 3 in. sides and one 7 in. side

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

• You can make infinitely many unique triangles.

• You don't have enough information to answer the question.

• You can only make one unique triangle.

• You can only make 2 unique triangles.

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 triangle exists with the given angle measures.

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

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

• One 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.

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

• Only 1 unique triangle

• multiple triangles

• no triangles

Tell whether this figure creates the conditions to for a unique triangle, more than 1 triangle, or no triangle.

The angles of a triangle are 30°, 60°, and 90°.

• unique triangle

• more than 1 triangle

• no triangle