Hello from MrBillDoesMath!
Answer:
x = 1/2
Discussion:
From the Pythagorean theorem
( sqrt(2) ) ^2 + x^2 = ( x+ 1) ^2 => as (sqrt(2))^2 = 2
2 + x^2 = x^2 + 2x + 1 => subtract x^2 from each both sides
2 = 2x + 1 => subtract 1 from both sides
2-1 = 2x =>
1 = 2x =>
x = 1/2
Thank you,
MrB
