Triangle Inequality Theorem Practice

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

Can the lengths 6, 14, and 21 form a triangle?

Back

No, because 6 + 14 is not greater than 21.

Front

If the side lengths are 4, 4, and 4, do they form a triangle?

Back

Yes, because 4 + 4 > 4 for all combinations.

Front

What are the side lengths that can form a triangle?

Back

The side lengths must satisfy the Triangle Inequality Theorem.

Front

Will the segments of lengths 5, 10, and 15 form a triangle?

Back

No, because 5 + 10 is not greater than 15.

Front

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

Back

3, 4, and 5 can form a triangle because 3 + 4 > 5.

Front

What is the first condition of the Triangle Inequality Theorem?

Back

The sum of the lengths of the two shorter sides must be greater than the length of the longest side.

Front

If the side lengths are 7, 7, and 7, what type of triangle is formed?

Back

An equilateral triangle.

Front

Can the lengths 8, 3, and 10 form a triangle?

Back

Yes, because 8 + 3 > 10.

Front

What happens if the sum of two sides equals the third side?

Back

The segments will form a straight line, not a triangle.