Question

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

Answer 1

Answer:

$\frac{\sqrt{2} }{2}$

Step-by-step explanation:

45 - 45 - 90 Triangles

When one leg = x, the hypotenuse = x$\sqrt{2}$

So, if the hypotenuse is 1, then divide by $\sqrt{2}$ to get the leg.

$\frac{1}{\sqrt{2} }$  rationalize denominator.

$\frac{1}{\sqrt{2}}$ × $\frac{\sqrt{2}}{\sqrt{2} }$ = $\frac{\sqrt{2}}{\sqrt{2} \sqrt{2} }$  =  $\frac{\sqrt{2} }{\sqrt{4}}$ =  $\frac{\sqrt{2}}{2}$