Question

The figure below is a square. Find the length of side x in simplest radical form with a rational denominator.

Answer 1

9514 1404 393

Answer:

x = (√2)/2

Explanation:

The diagonal is √2 times the side length (x), so ...

1 = x√2

√2 = 2x . . . . . multiply by √2

(√2)/2 = x . . . . divide by 2

The side length x is (√2)/2.