Question 549212
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:
{{{c^2 = a^2+b^2}}} but a = b = x, so...
{{{c^2 = 2x^2}}} and...
{{{C = sqrt(2)x}}} 
The ratio of the hypotenuse (c) to one leg is just:
{{{c/x}}} but {{{c = sqrt(2)x}}} so we get...
{{{sqrt(2)x/x = sqrt(2)}}}