Triangle Inequality Practice Terms of Use    Contact Person: Donna Roberts
Directions: Grab a paper and pencil to make your computations.

1.
Which set of numbers could be the lengths of the sides of a triangle?
Choose:
 {6, 9, 15} {6, 9, 12} {3, 3, 7} {1, 2, 3}

2.
Three trees are planted. The direct distance from tree A to tree B is 200 feet. The direct distance from tree B to tree C is 300 feet. Which of the choices could be the direct distance from tree A to tree C?

Choose:
 650 feet 550 feet 350 feet 50 feet

3.
In ΔABC, AB = 5 inches and BC = 3 inches. Which of the choices represents all possible values for AC, in inches?
Choose:

4.
In ΔDOG, point C lies on the side of the triangle between points D and O.
DG = 5, GO = 12, and DC = 3.
Which choice is a possible value for CO?

Choose:
 4 11 14 15

5.
Triangle TAB has a perimeter of 40 cm. Could the measures of the sides, as shown, actually represent the measures of the sides of a triangle?
Choose:
 Yes No

6.
Two sides of an isosceles triangle measure 4 and 8. Which of the following choices could be the measure of the third side?
Choose:

 10 8 6 4

7.
In ΔGAB, m∠G = 35º and mA = 52º. Which side of the triangle is the longest side?
Choose:

8.
In ΔCAT, an exterior angle at vertex C measures 135º,
and mT = 49º. Which side of the triangle is the longest side?

Choose:

9.
BCD is an exterior angle of ΔABC. Which of the following statements is NOT always true?
Choose:
 m∠BCD > m∠B m∠BCD > m∠A m∠BCD > m∠ACD m∠BCD = m∠A + m∠B

10.
In ΔABC, AB = 4x + 2, BC = 5x - 3, and AC = 2x + 4. The perimeter of the triangle is 36 units. Which angle in the triangle has the largest measure?
Choose:
 ∠A ∠B ∠C

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