Pythagorean Theorem and it's Converse

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 6 feet and the other leg is 8 feet, what is the length of the hypotenuse?

Back

10 feet.

Front

What is the converse of the Pythagorean Theorem?

Back

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

Front

In a right triangle, if the legs are 9 and 12, what is the length of the hypotenuse?

Back

15.

Front

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

Back

12.

Front

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

Back

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

How do you find the length of a missing side in a right triangle?

Back

Use the Pythagorean Theorem: a² + b² = c².

Front

If a ladder is placed 10 feet away from a wall and reaches a height of 24 feet, how long is the ladder?

Back

26 feet.

Front

What is the length of the hypotenuse if the legs of a right triangle are 8 inches and 15 inches?

Back

17 inches.