Triangle Inequality Theorem

Which of the following is the Triangle Inequality Theorem?

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

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

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

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

Which of the following triangles satisfy the Triangle Inequality Theorem?

• 5, 7, 10

• 6, 9, 15

• 2, 5, 7

• 3, 4, 8

Tags

CCSS.7.G.A.2

If the lengths of two sides of a triangle are 5 and 9, what is the range of possible lengths for the third side?

• 4 < x < 14

• 1 < x < 9

• 6 < x < 12

• 10 < x < 16

Which of the following is NOT a valid triangle according to the Triangle Inequality Theorem?

• 2, 3, 6

• 5, 6, 11

• 3, 4, 7

• 1, 2, 4

If the lengths of two sides of a triangle are 6 and 10, what is the minimum possible length for the third side?

• 2

• 4

• 8

• 12

If the lengths of two sides of a triangle are 8 and 12, what is the maximum possible length for the third side?

• 10

• 15

• 20

• 18

Which of the following is a valid triangle according to the Triangle Inequality Theorem?

• Two sides are equal

• All sides are equal

• All sides are different

• One side is longer than the sum of the other two sides

If the lengths of two sides of a triangle are 7 and 11, what is the range of possible lengths for the third side?

• 4 < x < 18

• -4 < x < 18

• 0 < x < 18

• 4 < x < 11

Which of the following is NOT a valid triangle according to the Triangle Inequality Theorem?

• 2, 3, 6

• 3, 4, 7

• 5, 6, 11

• 1, 2, 4

Tags

CCSS.7.G.A.2

If the lengths of two sides of a triangle are 9 and 15, what is the minimum possible length for the third side?

• 3

• 6

• 18

• 10