Converse of Pythagorean Theorem

Front

What is the Converse of the Pythagorean Theorem?

Back

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

Front

What is the formula for the Pythagorean Theorem?

Back

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

Front

In a right triangle, which side is the hypotenuse?

Back

The hypotenuse is the longest side, opposite the right angle.

Front

If a triangle has sides of lengths 3, 4, and 5, is it a right triangle?

Back

Yes, because 3² + 4² = 5² (9 + 16 = 25).

Front

What are the side lengths of a right triangle if the hypotenuse is 10 and one side is 6?

Back

Using the Pythagorean theorem: 6² + b² = 10²; b = 8.

Front

Can a triangle with sides 8, 15, and 17 be a right triangle?

Back

Yes, because 8² + 15² = 17² (64 + 225 = 289).

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

If a triangle has sides 7, 24, and 25, is it a right triangle?

Back

Yes, because 7² + 24² = 25² (49 + 576 = 625).

Front

What is the definition of a right triangle?

Back

A triangle that has one angle measuring 90 degrees.

Front

Which triangle type does the Pythagorean Theorem apply to?

Back

The Pythagorean Theorem applies only to right triangles.