Pythagorean Theorem Practice Problems with Answers
There are eight (8) problems here about the Pythagorean Theorem for you to work on. When you do something a lot, you get better at it. Let’s get started!
Here’s the Pythagorean Theorem formula for your quick reference.
Note: drawings not to scale
Problem 1: Find the value of x in the right triangle.
Problem 2: Find the value of x in the right triangle.
Problem 3: Find the value of x in the right triangle.
Problem 4: The legs of a right triangle are 5 and 12. What is the length of the hypotenuse?
Problem 5: The leg of a right triangle is 8 and its hypotenuse is 17. What is the measure of its other leg?
Problem 6: Suppose the shorter leg of a right triangle is \sqrt 2. The longer leg is twice the shorter leg. Find the hypotenuse.
Problem 7: The hypotenuse of a right triangle is 4\sqrt 2. If the longest leg is half the hypotenuse, what is the length of the shortest leg?
Problem 8: Find the value of x of the right isosceles triangle.
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