SOLUTION: in a45 degree - 45 degree - 90 degree triangle, the ration of the length of the hypotenuse to the lengh of a side is?

Question 549212: in a45 degree - 45 degree - 90 degree triangle, the ration of the length of the hypotenuse to the lengh of a side is?
Answer by Earlsdon(6294) (Show Source): You can put this solution on YOUR website!
In this kind of right triangle, the two legs are the same length, let's call it x and the hypotenuse is c.
From the Pythagorean theorem, we get:
but a = b = x, so...
and...

The ratio of the hypotenuse (c) to one leg is just:
but so we get...

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