Triangle Inequality

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

Do the side lengths 2 inches, 2 inches, and 4 inches form a triangle?

Back

No, because 2 + 2 is not greater than 4.

Front

Can the side lengths 4 cm, 7 cm, and 10 cm form a triangle?

Back

Yes, because 4 + 7 > 10, 4 + 10 > 7, and 7 + 10 > 4.

Front

What is the first step to determine if three lengths can form a triangle?

Back

Check if the sum of the two shorter lengths is greater than the longest length.

Front

If the side lengths are 4, 7, and 10, can they form a triangle?

Back

Yes, they satisfy the Triangle Inequality Theorem.

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, and 58 cannot represent the sides of a triangle.

Front

What is the relationship between the angles of a triangle and its sides?

Back

The largest angle is opposite the longest side, and the smallest angle is opposite the shortest side.

Front

How do you order angles from largest to smallest in a triangle?

Back

Identify the longest side and then order the angles opposite to the sides accordingly.

Front

What is an example of side lengths that do not satisfy the Triangle Inequality Theorem?

Back

Side lengths 1, 2, and 3 do not form a triangle because 1 + 2 is not greater than 3.

Front

What is the minimum requirement for three lengths to form a triangle?

Back

The sum of the two smallest lengths must be greater than the third length.