Question 757378
For a right triangle we can use the pythagorean theorem to solve for a missing side.  

{{{a^2 + b^2 = c^2}}}

we are told that c(the hypotenuse) is 15 and one of the legs (a or b) is 11

{{{a^2 + 11^2 = 15^2}}}

{{{a^2 = 15^2 - 11^2}}}

{{{sqrt(a^2) = sqrt(15^2 - 11^2)}}}

{{{a = sqrt(225 - 121)}}}

{{{a = sqrt(104)}}} = {{{a = sqrt(4)*sqrt(26)}}}

{{{ a = 2sqrt(26)}}}