If I would draw a right triangle with legs of length 1 centimeter with a ruler then its hypotenuse s

sebadillab0 2022-07-08 Answered
If I would draw a right triangle with legs of length 1 centimeter with a ruler then its hypotenuse should be equal to 2 which is an irrational number - therefore its decimal representation, which is the limit of the sequence lim n i = 0 a i 10 i , has infinitely many numbers after the interger part of 2 .
What exactly can the ruler measure when drawing such a triangle, considering the fact that we draw irrational number (which by definition is infinitely long)?
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Answers (1)

Keegan Barry
Answered 2022-07-09 Author has 18 answers
If the ruler has marks at 0 cm, 1 cm, 2 cm,... then you will measure that the length of the hypotenuse is between 1 and 2 cm.

If the ruler has marks at 0 mm, 1 mm, 2 mm,... then you will measure that the length of the hypotenuse is between 14 and 15 mm.

So everything depends on where are the marks in the ruler. If it is a special ruler with a mark at 2 cm, then it will measure the exact length of the hypotenuse.
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