Conditions of a Triangle

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

• 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.

• unique triangle

• more than 1 triangle

• no 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 angle

• more than one triangle

• no triangle

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

• m∠C < m∠E
• m∠E > m∠D
• m∠D < m∠C
• m∠E > m ∠C

Consider the given conditions for a triangle and determine whether they guarantee a unique triangle by selecting true or false.

• True

• False

Which of the following conditions form a unique triangle?

• a 60° angle and two 60° angles (equilateral triangle)

• a 5 cm side between a 45° and a 45° angle

• a 5 cm side, a 6 cm side, and a 12 cm side

• a 4 cm side between a 100° and an 80° angle

Consider the given conditions for a triangle and determine whether they guarantee a unique triangle by selecting true or false.

• True

• False

Consider the given conditions for a triangle and determine whether they guarantee a unique triangle by selecting true or false.

• True

• False