Question

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

rational denominator.
X
oc
Answer: 2
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Just need some help

Answer 1

`(√(2) )/(2)`

Explanation:

45 - 45 - 90 Triangles

When one leg = x, the hypotenuse = x
`√(2)`

So, if the hypotenuse is 1, then divide by
`√(2)` to get the leg.

`(1)/(√(2) )` rationalize denominator.

`(1)/(√(2))` ×
`(√(2))/(√(2) )` =
`(√(2))/(√(2) √(2) )` =
`(√(2) )/(√(4))` =
`(√(2))/(2)`