Conditions of Triangle

A triangle has sides that measure 30 mm and 45 mm. Which set of inequalities represent all possible lengths of the third side of the triangle?

• x > 30 and x < 45

• x > 15 and x < 75

• x < 30 and x > 45

• x < 15 and x > 75

Which set of side lengths would form a triangle?

• 2 in, 6 in, 8 in

• 2 in, 6 in, 10 in

• 4 in, 6 in, 8 in

• 4 in, 10 in, 15 in

Millie is drawing a triangle. One side has a length of 9 units, and another side has a length of 6 units. What could be the length of the third side of the triangle?

• 3 units

• 7 units

• 15 units

• 18 units

Which set of side lengths would not form a triangle?

• 3 cm, 4 cm, 5 cm

• 6 cm, 8 cm, 10 cm

• 10 cm, 12 cm, 24 cm

• 12 cm, 15 cm, 26 cm

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

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

Select the answer below.

• A

• B

• C

• D

Tags

CCSS.8.G.A.5

A triangle can have all acute angles. Mark True / False.

• True

• False

What is the condition of congruent triangles?

• SSS

• SAS

• RHS

• ASA

• AAS