Triangle Inequality Theorem

Front

What is the Triangle Inequality Theorem?

Back

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

Front

If the longest side of a triangle is 10, what must be true about the sum of the other two sides?

Back

The sum of the other two sides must be greater than 10.

Front

What is the range of values for the third side of a triangle with sides measuring 8 and 15?

Back

The range of values for the third side is between 7 and 23.

Front

Can the side lengths 3, 5, and 5 form a triangle?

Back

Yes, these side lengths can form a triangle.

Front

Given two sides of a triangle measuring 7 ft and 13 ft, what is the range for the third side?

Back

The third side must be more than 6 but less than 20.

Front

Which of the following sets of lengths cannot represent the sides of a triangle: 32, 34, 60 or 28, 30, 58?

Back

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

Front

What is the minimum length of the third side if two sides of a triangle measure 5 and 12?

Back

The minimum length of the third side must be greater than 7.

Front

If one side of a triangle is 9 and another is 4, what is the maximum length of the third side?

Back

The maximum length of the third side must be less than 13.

Front

What is the relationship between the sides of a triangle?

Back

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

Front

If a triangle has sides measuring 6, 8, and 10, does it satisfy the Triangle Inequality Theorem?

Back

Yes, it satisfies the theorem because 6 + 8 > 10, 6 + 10 > 8, and 8 + 10 > 6.