What is the value of x? enter your answer in the box. x =

Here we have a right triangle whose leg lengths are 49 and 58.8 cm.
According to the Pyth. Theorem, 49^2 + 58.8^2 = {35 cm + x + 1}^2.  We must solve this for x.

2491 + 3457.44 = (36 + x)^2
       5948.44       =  1296 + 72 x + x^2
      -5948.44       =  -5948.44

           0              = -4652.44 + 72x + x^2

Solve for x using the quadratic formula.  Remember to check both possibe solutions; if one of them is negative you'll likely need to eliminate that one.