Triangle Inequality Theorem

Front

What is the sum of the interior angles in a triangle?

Back

180 degrees

Front

What does the Triangle Inequality Theorem state?

Back

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

Front

Can a triangle exist with side lengths 15, 12, and 9?

Back

Yes

Front

Which of the following sets of lengths cannot form a triangle: 32, 34, 60, 28, 30, 58, 13, 20, 27, 2, 4, 5?

Back

28, 30, 58

Front

Does a triangle with side lengths 11, 28, and 16 exist?

Back

No

Front

Can the sides of a triangle have lengths 4, 7, and 18?

Back

No

Front

What is the first condition of the Triangle Inequality Theorem?

Back

a + b > c, where a, b, and c are the lengths of the sides of the triangle.

Front

If a triangle has sides of lengths 5, 7, and x, what must be true about x?

Back

x must be less than 12 and greater than 2.

Front

What is an example of a valid triangle side length set?

Back

3, 4, 5 (because 3 + 4 > 5, 3 + 5 > 4, and 4 + 5 > 3).

Front

What is the relationship between the longest side and the other two sides in a triangle?

Back

The longest side must be less than the sum of the other two sides.