Pythagorean Theorem Homework Assignment

Front

The Pythagorean Theorem states that in a right triangle, the square of the length of the hypotenuse (c) is equal to the sum of the squares of the lengths of the other two sides (a and b).

Back

c² = a² + b²

Front

What type of triangle does the Pythagorean Theorem apply to?

Back

Right triangle

Front

If one side of a right triangle is 5 cm and the other side is 12 cm, what is the length of the hypotenuse?

Back

13 cm

Front

What is the formula to find the length of a missing side in a right triangle using the Pythagorean Theorem?

Back

c = √(a² + b²) or a = √(c² - b²) or b = √(c² - a²) depending on which side is missing.

Front

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

Back

8 cm

Front

True or False: The Pythagorean Theorem can be used for any type of triangle.

Back

False

Front

In a right triangle, if the lengths of the two legs are 8 cm and 15 cm, what is the length of the hypotenuse?

Back

17 cm

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 shorter sides equals the square of the longest side.

Front

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

Back

15 cm

Front

What do you call the longest side of a right triangle?

Back

Hypotenuse