document.write( "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? \n" ); document.write( "

Algebra.Com's Answer #357535 by Earlsdon(6294) $\"\"$ $\"About$

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In this kind of right triangle, the two legs are the same length, let's call it x and the hypotenuse is c.
\n" ); document.write( "From the Pythagorean theorem, we get:
\n" ); document.write( " $\"c%5E2+=+a%5E2%2Bb%5E2\"$ but a = b = x, so...
\n" ); document.write( " $\"c%5E2+=+2x%5E2\"$ and...
\n" ); document.write( " $\"C+=+sqrt%282%29x\"$
\n" ); document.write( "The ratio of the hypotenuse (c) to one leg is just:
\n" ); document.write( " $\"c%2Fx\"$ but $\"c+=+sqrt%282%29x\"$ so we get...
\n" ); document.write( " $\"sqrt%282%29x%2Fx+=+sqrt%282%29\"$ \n" ); document.write( "

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