Pythagorean Theorem Review

Front

What is the formula used for the Pythagorean Theorem?

Back

a² + b² = c²

Front

How many legs are there in a right triangle?

Back

2

Front

Find the length of the missing side if one leg is 30 and the other leg is 40.

Back

50 (using the Pythagorean theorem: 30² + 40² = c²)

Front

Is the side labeled with x a leg or the hypotenuse in a right triangle?

Back

It depends on the context, but if x is opposite the right angle, it is the 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 (using the Pythagorean theorem: 5² + h² = 13²)

Front

What do the letters a, b, and c represent in the Pythagorean theorem?

Back

a and b are the lengths of the legs of the right triangle, and c is the length of the hypotenuse.

Front

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

Back

8 (using the Pythagorean theorem: 6² + b² = 10²)

Front

What type of triangle does the Pythagorean theorem apply to?

Back

Right triangle.

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

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

Back

Yes, because 3² + 4² = 5².