Question 766762
The Pythagorean theorem:  {{{a^2 + b^2 = c^2}}} where a and b are the legs, and c is the hypotenuse.<P>
To find a leg given the other leg and the hypotenuse:  {{{a^2 = c^2 - b^2}}}<P>
In this right triangle call side a = x and c (hypotenuse) = 3x<P>
{{{(3x)^2 - x^2 = b^2 = 9x^2 - x^2 = 8x^2}}}<P>
So {{{b = sqrt(8x^2) = sqrt(2*4)x = 2*sqrt(2)x}}}