Question 52277
Well, I wish you luck because you don't have enough information to answer the problem. What is the value of a?
As you probably know, in a right triangle: {{{c^2 = a^2+b^2}}}
You know the value of the hypotenuse, (c = 6) but unfortunately this is not enough to determine the value of a or b unless you also know that a = b.
If a = b, then you can solve this problem as follows:
{{{c^2 = a^2 + b^2}}} But a=b, so:
{{{c^2 = b^2+b^2}}}
{{{c^2 = 2b^2}}} and c = 6, so:
{{{36 = 2b^2}}} Divide both sides by 2.
{{{18 = b^2}}} Take the square root of both sides.
{{{sqrt(18) = b}}} or 
{{{b = sqrt(18)}}}
{{{b = 3sqrt(2)}}} and that's the best you can do!