Inequality Theorems in One Triangle

Determine if the given length of side can form a triangle.

5 cm, 12 cm, 13 cm

• YES

• NO

Find m∠T in ΔSTU.

• 35°

• 100°

• 145°

• 180°

Determine if the given length of side can form a triangle.

6 ft, 3 ft, 9 ft

• YES

• NO

Determine if the given length of side can form a triangle.

7 m, 2 m, 7 m

• YES

• NO

Determine if the given length of side can form a triangle.

22 cm, 17 cm, 8 cm

• YES

• NO

Which of the following is NOT an inequality theorem for one triangle?

• Triangle Inequality Theorem

• Side-Angle Inequality Theorem

• Exterior Angle Inequality Theorem

• Exterior Angle Theorem

The measure of an exterior angle of a triangle is always ____________.

• greater than its adjacent interior angle.

• less than its adjacent interior angle.

• greater than either its remote interior angle.

• less than either its remote interior angle.

Using the figure which of the following is the longest side?

• 𝐀𝐁

• 𝐀𝐂

• 𝐁𝐂

• Cannot be determined

Using the figure which of the following is the correct order of sides from longest to shortest?

• 𝑨𝑪 > 𝑩𝑪 > 𝑨𝑩

• 𝑩𝑪 > 𝑨𝑪 > 𝑨𝑩

• 𝑨𝑩 > 𝑩𝑪 > 𝑨𝑪

• 𝑨𝑩 > 𝑨𝑪 > 𝑩𝑪

Using the figure which of the following is the smallest angle?

• ∠A

• ∠B

• ∠C

• Cannot be determined