Applying Properties of Triangles

Which of the following could not be the lengths of the sides of a triangle?

• 6 ft, 3 ft, 9 ft

• 3 cm, 4 cm, 5 cm

• 4 in, 6 in, 8 in

• 5 km, 2 km, 4 km

Which could be the lengths of three sides of a triangle?

• 6 cm, 14 cm, 8 cm

• 9 cm, 11 cm, 21 cm

• 8.5 cm, 17 cm, 10.6 cm

• 14 cm, 4.7 cm, 4.7 cm

Jennifer is forming a triangle out of string. Two pieces of string measure 8.2 cm and 9.1 cm. What length of string could be used for the third side of the triangle?

• 0.9 cm

• 17.2 cm

• 17.3 cm

• 17.4 cm

Given: Triangle ABC with AB = 42 and BC = 20.

Which of the following are possible lengths for AC?

• 22

• 32

• 42

• 50

• 62

The lengths of two sides of a triangle are 24 inches and 43 inches. What is the range of possible lengths, in inches, for the third sides, x, of this triangle? Select the two numbers that would be used to complete the inequality below.

_____ < x < _____

• 9

• 19

• 24

• 67

• 113

The locations of three water pumping stations form a triangle on a map of the area. The distance from station A to station B is 650 meters. The distance from station B to station C is 558 meters. The distance from station A to station C is:

• less than 92 m

• exactly 92 m

• between 92 m and 1208 m

• greater than 1208 m

On a map, Tannersville, Chadwick and Barkersville form a triangle. Chadwick is 70 miles from Tannersville and Barkersville is 90 miles from Tannersville. Which is a possible distance between Chadwick and Barkersville?

• 15 miles

• 20 miles

• 120 miles

• 160 miles

If angle A is 74 and angle B is 25+9, times 2, what is angle C? (MC)

In triangle ABC, AB = 12, BC = 9, and CA = 7. Which statement about the angles of triangle ABC must be true? (MD)

• B > C > A

• A > B > C

• B > A > C

• C > A > B

• C > B > A

In triangle POL, angle P = 2x + 24, angle O = 2x + 28, and angle L = x - 2. What is the measurement of angle O? (GD)