Triangles

The sum of the lengths of any two sides of a triangle must be greater than the length of the third.

• Triangle Sum Theorem
• Third Leg Theorem
• Triangle Inequality Theorem
• Third Angle Theorem

The lengths of two sides of a triangle are 5 and 7. What is the range of possible side lengths?

• 12<x<2

• 2>x>12

• 2<x<12

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

• {5,18,13}
• {6,17,22}
• {16,24,7}
• {26,8,15}
  

Using the Triangle Inequality Theorem, determine if the measurements given form a triangle.

• Yes they form a Triangle (all equations are true/correct)

• No triangle is formed (at lease one equation is false/incorrect)

Which correctly describes the Triangle Inequality Theorem?

• The sum of lengths of any two sides of a triangle must be greater than the length of thethird side.

• The length of the shortest side of the triangle, squared, must be greater than the length of the longest side.

• The sum of lengths of any two sides of a triangle must be less than the length of the third side.

If two of the sides of a triangle are 15 and 32, describe the possible lengths of the third side.

• The third side must be between 15 and 32.

• 17 < 3rd side < 47

• 23 < 3rd side < 51

• 2 < 3rd side < 165

The Triangle Inequality Theorem states the sum of the lengths of any two sides of a triangle is ________________ the length of the third side.

• greater than
• less than 
• equal to

Select all of the possible lengths for the 3rd side of a triangle if the first two sides are 12 and 7:

• 5

• 14

• 8

• 18

Which of these lengths CANNOT represent the sides of a triangle?

• 32, 34, 60
• 28, 30, 58
• 13, 20, 27
• 2, 4, 5

Which statement is NOT true about triangle DEF?

• Side DE is shorter than the sum of the

  lengths of sides EF and DF.

• Side DF is the shorter than the sum of

  the lengths of sides DE and EF.

• Side EF is shorter than the sum of the

  lengths of sides DE and DF.

• Side DE is longer than the sum of the

  lengths of sides EF and DF.

Tags

6.8.A