Question 473172
  <pre><font face = "Tohoma" size = 4 color = "indigo"><b> 
Hi,
One side is 'x' the other 'x+12' and the hypotenuse is '60'
Applying the Pythagorean Theorem
 x^2 + (x+12)^2 = 3600
  2x^2 + 24x + 144 = 3600
   2x^2 + 24x -3456 = 0
   x^2 + 12x - 1728 = 0
factoring  (or using the Quadratic Formula)
  (x+48)(x-36) = 0
    (x+48)=0  x = -48  |tossing out negative solution for length
   (x-36) = 0 
     x = 36 and the other side = 48

CHECKING our Answer***
 1296 + 2304 = 3600