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.

Question

asked Sep 14, 2023 97.1k views

1 Answer

Maxpill · Answer 1 · 2023-09-20T01:44:03+0000

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.