They give us 2 pieces to the puzzle. Both are positive numbers...x and y. 1.) 1 number is 1 less than twice another number. (x = 2y -1)...and 2.) the sum of their squares is 106. (x^2 + y^2 = 106).
substitute the value for x into the second equation.
The length of the diagonal of the square is the square root of 32 which equals approximately 5.6569. The length from the corner to the center of the square is half of the diagonal which is 2.8284. I hope this helps!