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

Can the side lengths 3, 5, and 8 form a triangle?

Back

No, because 3 + 5 is not greater than 8.

Front

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

Back

The third side must be between 7 and 23.

Front

Given two sides of lengths 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

Will the side lengths 4, 5, and 10 form a triangle?

Back

No, because 4 + 5 is not greater than 10.

Front

If one side of a triangle is 10 and another is 6, what is the maximum length of the third side?

Back

The maximum length of the third side is less than 16.

Front

If two sides of a triangle are 9 and 12, what is the minimum length of the third side?

Back

The minimum length of the third side is more than 3.

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

Can the lengths 5, 5, and 10 form a triangle?

Back

No, because 5 + 5 is not greater than 10.

Front

What is the Triangle Inequality Theorem used for?

Back

It is used to determine whether three given lengths can form a triangle.