Pythagorean Theorem converse

Front

What is the longest side of a right triangle called?

Back

Hypotenuse

Front

What is the Pythagorean theorem formula?

Back

a² + b² = c², where c is the hypotenuse.

Front

How can you determine if three lengths form a right triangle?

Back

Check if a² + b² = c² holds true for the lengths.

Front

What are the side lengths of a right triangle?

Back

The two shorter sides are called legs, and the longest side is the hypotenuse.

Front

If the lengths are 9, 12, and 15, do they form a right triangle?

Back

Yes, because 9² + 12² = 15².

Front

If the lengths are 13, 80, and 81, do they form a right triangle?

Back

No, because 13² + 80² ≠ 81².

Front

What is the converse of the Pythagorean theorem?

Back

If a² + b² = c², then the triangle is a right triangle.

Front

What is the relationship between the sides of a right triangle?

Back

The square of the hypotenuse is equal to the sum of the squares of the other two sides.

Front

Can a triangle with sides 6, 8, and 10 be classified as a right triangle?

Back

Yes, because 6² + 8² = 10².

Front

What is a right triangle?

Back

A triangle with one angle measuring 90 degrees.