Is the length of the hypotenuse of a right triangle with legs that measure 5 cm and 6 cm a rational number or an irrational number? Justify your answer.

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Ledawg asked Jun 11, 2023

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Is the length of the hypotenuse of a right triangle with legs that measure 5 cm and 6 cm a rational number or an irrational number? Justify your answer.

Mathematics
high-school

Ledawg asked Jun 11, 2023

by Ledawg

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30 votes

Answer:

irrational

Explanation:

Use the Pythagorean theorem.

5² + 6² = c²

25 + 36 = c²

c² = 61

7² = 49

6² = 64

61 is between 7² and 8², so it is not rational.

Max Svidlo answered Jun 18, 2023

by Max Svidlo

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