Forming Triangles

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

• 14

• 4

• 15

• 10

Which of the following is NOT a way to form a triangle?

• A triangle can be formed by connecting three points in a circular shape.

• A triangle can be formed by connecting three points in a zigzag pattern.

• A triangle can be formed by connecting three points in a straight line.

• A triangle cannot be formed if the sum of the lengths of any two sides is less than or equal to the length of the third side.

Which of the following is the Triangle Inequality Theorem?

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

• The sum of the lengths of any two sides of a triangle is not related to the length of the third side.

• 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 equal to the length of the third side.

Which of the following is NOT a valid triangle?

• 4, 5, 9

• 1, 2, 3

• 2, 3, 6

• 10, 10, 10

Which of the following is an example of 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 equal to 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 greater than the length of the third side.

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

• 8

• 4

• 12

• 15

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

• 10

• 15

• 18

• 20

What is the missing Angle?

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What is the missing Angle?

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What is the missing Angle?

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