Pythagorean Theorem

Front

What type of triangle does the Pythagorean Theorem apply to?

Back

Right triangle.

Front

What is the Pythagorean Theorem formula?

Back

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

Front

If one leg of a right triangle is 3 and the other leg is 4, what is the length of the hypotenuse?

Back

5 (using the Pythagorean Theorem: 3² + 4² = 5²).

Front

What is the hypotenuse in a right triangle?

Back

The longest side opposite the right angle.

Front

In a right triangle, if the legs are 6 and 8, what is the length of the hypotenuse?

Back

10 (6² + 8² = 10²).

Front

What does 'c' represent in the Pythagorean Theorem?

Back

The length of the hypotenuse.

Front

If a right triangle has a hypotenuse of 13 and one leg of 5, what is the length of the other leg?

Back

12 (using the Pythagorean Theorem: 5² + b² = 13²).

Front

What is the relationship between the sides of a right triangle according to the Pythagorean Theorem?

Back

The sum of the squares of the two legs equals the square of the hypotenuse.

Front

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

Back

Yes, because 7² + 24² = 25².

Front

What is the Pythagorean Theorem used for?

Back

To find the length of a side in a right triangle.