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

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

What is the total sum of angles in a triangle?

Back

180 degrees.

Front

If a triangle has sides of lengths 3 and 4, what is the maximum possible length of the third side?

Back

The maximum length of the third side can be less than 7 (3 + 4).

Front

If a triangle has sides of lengths 4, 7, and 18, do they form a triangle?

Back

No, because 4 + 7 is not greater than 18.

Front

What is the minimum possible length of the third side if two sides are 3 and 4?

Back

The minimum length of the third side must be greater than 1 (4 - 3).

Front

Can a triangle have sides of lengths 5, 5, and 10?

Back

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

Front

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

Back

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

Front

If a triangle has sides of lengths 6, 8, and 10, do they satisfy the Triangle Inequality Theorem?

Back

Yes, because 6 + 8 > 10, 6 + 10 > 8, and 8 + 10 > 6.

Front

What is an example of side lengths that can form a triangle?

Back

3, 4, and 5.