Triangle Inequality Theorem

Front

What is the Triangle Inequality Theorem?

Back

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

Front

If two sides of a triangle are 7 ft and 13 ft, what is the range of possible lengths for the third side?

Back

The length of the third side must be more than 6 ft but less than 20 ft.

Front

Which of the following sets of lengths can form a triangle: 7, 9, 19; 7, 12, 1; 7, 7, 7; 7, 7, 16?

Back

The lengths 7, 7, 7 can form a triangle.

Front

Will the side lengths 5, 10, and 15 form a triangle?

Back

No, these lengths will not form a triangle.

Front

Will the side lengths 6, 8, and 10 form a triangle?

Back

Yes, these lengths will form a triangle.

Front

Which of these lengths CANNOT represent the sides of a triangle: 32, 34, 60; 28, 30, 58; 13, 20, 27; 2, 4, 5?

Back

The lengths 28, 30, 58 cannot represent the sides of a triangle.

Front

What is the minimum length of the third side if the other two sides are 8 and 10?

Back

The minimum length of the third side must be greater than 2.

Front

What is the maximum length of the third side if the other two sides are 8 and 10?

Back

The maximum length of the third side must be less than 18.

Front

If one side of a triangle is 3 cm and another is 4 cm, what is the range for the third side?

Back

The third side must be more than 1 cm but less than 7 cm.

Front

What does it mean for three lengths to be 'incongruent' in the context of triangles?

Back

Incongruent lengths cannot form a triangle because they do not satisfy the Triangle Inequality Theorem.