Question

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.

Answer 1

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.