Pythagorean Theorem (Finding the Legs)

Front

What shape does the Pythagorean theorem apply to?

Back

Right triangles only.

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

If one leg of a right triangle is 6 and the other leg is 8, what is the length of the hypotenuse?

Back

10 (using the Pythagorean theorem: 6² + 8² = c²).

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 the hypotenuse is 13 and one leg is 5, what is the length of the other leg?

Back

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

Front

Can the Pythagorean theorem be used for non-right triangles?

Back

No, it only applies to right triangles.

Front

What does 'a' and 'b' represent in the Pythagorean theorem?

Back

The lengths of the two legs of the right triangle.

Front

If a right triangle has legs of lengths 9 and 12, what is the length of the hypotenuse?

Back

15 (using the Pythagorean theorem: 9² + 12² = c²).

Front

Is the statement 'a² + b² + c²' true for the Pythagorean theorem?

Back

False; it should be 'a² + b² = c²'.