Find the length of side x in simplest form with a rational denominator

Given:

The figure contains a right triangle.

The two angles of the triangle are 45° each.

The length of one leg is 3 units.

The length of the hypotenuse is x units.

We need to determine the value of x.

Value of x:

The value of x can be determined using the formula,

where , adj = 3 and hyp = x.

Substituting these values, we get;

Simplifying, we get;

Thus, the value of x is

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