6th Inequality Triangle Theorem

What 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 Triangle Inequality Theorem only applies to equilateral triangles.

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

• The Triangle Inequality Theorem states that the sum of the lengths of any two sides of a triangle must be equal to the length of the third side.

If the lengths of the sides of a triangle are 7 cm, 10 cm, and 5 cm, is it a valid triangle according to the Triangle Inequality Theorem?

• Maybe

• No

• Yes

• Not sure

If the lengths of the sides of a triangle are 4 in, 9 in, and 15 in, is it a valid triangle according to the Triangle Inequality Theorem?

• Yes

• Maybe

• Not sure

• No

If the lengths of the sides of a triangle are 6 m, 6 m, and 10 m, is it a valid triangle according to the Triangle Inequality Theorem?

• Yes

• No

• Maybe

• Not sure

What is the relationship between the sum of the lengths of any two sides of a triangle and the length of the third side according to the Triangle Inequality Theorem?

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

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

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

• The sum of the lengths of any two sides of a triangle has no relationship with the length of the third side.

If the lengths of the sides of a triangle are 12 ft, 5 ft, and 8 ft, is it a valid triangle according to the Triangle Inequality Theorem?

• No, because the sum of the two shorter sides is greater than the longest side but the difference is less than the longest side

• No, because the sum of the two shorter sides is equal to the longest side

• Yes

• No, because the sum of the two shorter sides is not greater than the longest side

If the lengths of the sides of a triangle are 3 cm, 7 cm, and 12 cm, is it a valid triangle according to the Triangle Inequality Theorem?

• Yes

• No

• Not sure

• Maybe

If the lengths of the sides of a triangle are 5 in, 5 in, and 12 in, is it a valid triangle according to the Triangle Inequality Theorem?

• Yes

• Maybe

• Not sure

• No

What is the condition for a set of three numbers to form a triangle according to the Triangle Inequality Theorem?

• 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.

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

If the lengths of the sides of a triangle are 8 m, 6 m, and 18 m, is it a valid triangle according to the Triangle Inequality Theorem?

• Not sure

• Maybe

• No

• Yes