Drawing Triangles with Conditions

Can the following 3 numbers be side measures of a triangle

• Yes

• No

What is the missing Angle?

Evaluate responses using AI:

OFF

What is the missing Angle?

Evaluate responses using AI:

OFF

What is the missing Angle?

Evaluate responses using AI:

OFF

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

• True

• False

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

Which sets of conditions guarantee a unique triangle? Choose all that apply.

• Angle measures of 35°, 65° , and 80°

• Side lengths of 6 inches, 5  inches, and 4 inches

• Side lengths of 4 cm and 6 cm with an included angle measure of 45°

• Angle measures of 20° and 50° with an included side that is 3 inches long

• Angle measures of 30° and 90° with a non-included side that is 10 cm long

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

Which set of measurements below would produce many triangles?

• 6 in, 4 in, 16 in

• 45 degrees, 45 degrees, 90 degrees

• 12 in, 8 in, 5 in

• 30 degrees, 45 degrees, 110 degrees