What happens if the answer of a squared + b squared in the Pythagorean theorem is not a perfect square? How do you solve the problem and find out C squared if the hypotenuse cannot have a radical?

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09-08-2017
Mathematics

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What happens if the answer of a squared + b squared in the Pythagorean theorem is not a perfect square? How do you solve the problem and find out C squared if the hypotenuse cannot have a radical?

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wolf1728 wolf1728 · Answer 1 · 2017-08-09T04:55:49+02:00

wolf1728 wolf1728

09-08-2017

Let's say there is a right triangle with sides 6 and 7.
We compute the 3rd side (the hypotenuse) by
hypotenuse² = 6² + 7²
hypotenuse² = 36 +49
hypotenuse² = 85
85 is NOT a perfect square so on a calculator, use the square root function to find the square root of 85 which equals
9.2195444573

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