Inequalities among triangles

Which numbers could represent the lengths of the sides of a triangle?

• 5,9,14

• 7,7,15

• 1,2,4

• 3,6,8

The sum of the lengths of any two sides of a triangle is __________ than the length of the third side  .

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

• 3 < AC < 7

• 3 > AC >7

• 2 < AC < 8

• 2 > AC > 8

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

• 10

• 6

• 8

• 4

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

• side GA

• Side GB

• Side AB

• Side BAG

Which set of numbers represents the lengths of the sides of a triangle?

• 5. 5, 18, 13

• 6, 17, 32

• 12, 24, 10

• 23, 24, 54

If two sides of the triangle have lengths 10 and 22 , the third side will be

• 21

• 42

• 15

• 32

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?

• 50 ft

• 350 ft

• 550 ft

• 650 ft

Which set could not be the sides of the triangle?

• 4, 5, 6

• 5, 5, 11

• 7, 7, 12

• 8, 8, 8

Which set of the set of numbers could be the length of the side of an isosceles triangle?

• 1, 1, 2

• 3, 3, 5

• 3, 4, 5

• 4, 4, 9