document.write( "Question 1185018: The hypotenuse of an isosceles right triangle is 2 cm longer than either of its legs. Note that an isosceles right triangle is a right triangle whose legs are the same length. Find the exact length of its legs and its hypotenuse. \n" ); document.write( "

Algebra.Com's Answer #815704 by greenestamps(13200) $\"\"$ $\"About$

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\n" ); document.write( "c^2=a^2+b^2

\n" ); document.write( " $\"%28x%2B2%29%5E2=x%5E2%2Bx%5E2\"$
\n" ); document.write( " $\"x%5E2%2B4x%2B4=2x%5E2\"$
\n" ); document.write( " $\"x%5E2-4x-4=0\"$

\n" ); document.write( "The quadratic does not factor; use the quadratic formula to solve for x; obviously you want to pick the positive solution.

\n" ); document.write( "Then the leg lengths are x and the hypotenuse length is x*sqrt(2).

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