Converse of Pythagorean Theorem

Front

What is the Converse of the Pythagorean Theorem?

Back

If in a triangle, the square of the length of one side is equal to the sum of the squares of the lengths of the other two sides, then the triangle is a right triangle.

Front

If a triangle has sides of lengths 9, 12, and 17, does it form a right triangle?

Back

No, because 9² + 12² ≠ 17².

Front

If a triangle has sides of lengths 2.1, 7.2, and 7.5, does it form a right triangle?

Back

Yes, because 2.1² + 7.2² = 7.5².

Front

Given the side lengths 6 in, 8 in, and 10 in, does it form a right triangle?

Back

Yes, because 6² + 8² = 10².

Front

Can side lengths 3, 4, and 5 form a right triangle?

Back

Yes, because 3² + 4² = 5².

Front

Do the side lengths 13, 80, and 81 form a right triangle?

Back

No, because 13² + 80² ≠ 81².

Front

What is the Pythagorean Theorem?

Back

In a right triangle, the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the other two sides.

Front

What is a right triangle?

Back

A triangle that has one angle measuring 90 degrees.

Front

What is the formula to check if a triangle is a right triangle using side lengths a, b, and c?

Back

Check if a² + b² = c², where c is the longest side.

Front

If a triangle has sides of lengths 5, 12, and 13, does it form a right triangle?

Back

Yes, because 5² + 12² = 13².