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

Which set of side lengths will form a triangle? 3, 6, 12; 7, 7, 14; 9, 9, 9; 13, 6, 7

Back

9, 9, 9

Front

Can the following side measures form a triangle? 3, 5, 8

Back

No

Front

What is the condition for three lengths a, b, and c to form a triangle?

Back

a + b > c, a + c > b, b + c > a.

Front

If the sides of a triangle are 5, 7, and 10, do they satisfy the Triangle Inequality Theorem?

Back

Yes, because 5 + 7 > 10, 5 + 10 > 7, and 7 + 10 > 5.

Front

What is the maximum length of a side in a triangle with sides 8 and 6?

Back

The maximum length is less than 14 (8 + 6).

Front

What is the minimum length of a side in a triangle with sides 8 and 6?

Back

The minimum length is greater than 2 (8 - 6).

Front

Will these three sides form a triangle? 4, 5, 10

Back

No

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

28, 30, 58

Front

What is the sum of the angles in a triangle?

Back

180 degrees.