This is a 45-45-90 triangle, which has a special relationship between the sides and angles.
Each of the legs of the triangle is equal to x. The hypotenuse is x * sqrt(2).
To find the value of x, we will need to divide the hypotenuse by sqrt(2) and then rationalize the denominator.
1 / sqrt(2)
---Multiply the numerator and denominator by the sqrt(2)
sqrt(2) / 2
x = sqrt(2) / 2
Hope this helps!