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Pythagorean Theorem Worksheet

Objective: I know how to use the Pythagorean theorem to determine whether a given triangle is a right triangle.

We can use the Pythagorean theorem to check whether a given triangle is a right triangle.

For a triangle with sides a, b and c and c is the longest side, if c2 = a2 + b2 then it is a right triangle.

Read the lesson on the Converse of the Pythagorean theorem for more information and examples.


Fill in all the gaps, then press "Check" to check your answers. Use the "Hint" button to get a free letter if an answer is giving you trouble. You can also click on the "[?]" button to get a clue. Note that you will lose points if you ask for hints or clues!
Which of the following could be the lengths of the sides of a right triangle? Fill in the answer “yes” or “no”.

8, 15, 17

7, 25, 26

9, 12, 15

24, 45, 51

24, 26, 10

9, 17, 14

0.15, 0.2, 0.25

75, 23, 71

0.8, 0.9, 1.2

Try the free Mathway calculator and problem solver below to practice various math topics. Try the given examples, or type in your own problem and check your answer with the step-by-step explanations.
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