Pythagorean Theorem Review

Front

How many legs are there in a right triangle?

Back

2

Front

Is the side labeled with x a leg or the hypotenuse? (If x is one of the two shorter sides)

Back

leg

Front

Is the side labeled with x a leg or the hypotenuse? (If x is the longest side)

Back

hypotenuse

Front

The bottom of a 13-foot straight ladder is set into the ground 5 feet away from a wall. What is the distance above the ground it will reach?

Back

12 feet

Front

How do you know what leg is the hypotenuse?

Back

It's the longest leg.

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

In a right triangle, if the hypotenuse is 10 and one leg is 6, what is the length of the other leg?

Back

8 (using the Pythagorean Theorem: 10² - 6² = 8²).

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 right triangle has legs of lengths 5 and 12, what is the length of the hypotenuse?

Back

13 (using the Pythagorean Theorem: 5² + 12² = 13²).