Triangle Inequality Theorem

Front

Does a triangle with these side lengths exist? 5, 10, 15

Back

No

Front

The Triangle Inequality Theorem states the sum of the lengths of any two sides of a triangle is ________________ the length of the third side.

Back

greater than

Front

Does a triangle with these side lengths exist? 8.5, 6.5, 13.5

Back

Yes

Front

Does a triangle with these side lengths exist? 47, 28, 70

Back

Yes

Front

The Triangle Inequality Theorem deals with _______ of a triangle

Back

sides

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 a triangle has sides of lengths 3, 4, and 5, does it satisfy the Triangle Inequality Theorem?

Back

Yes, because 3 + 4 > 5, 3 + 5 > 4, and 4 + 5 > 3.

Front

Can a triangle have sides of lengths 1, 2, and 3?

Back

No, because 1 + 2 is not greater than 3.

Front

What is an example of side lengths that do not form a triangle?

Back

Side lengths 2, 2, and 5 do not form a triangle.

Front

What is the minimum length of the third side if two sides of a triangle are 7 and 10?

Back

The minimum length of the third side must be greater than 3 (10 - 7).