Too small radius!

Geometry Level pending

Right triangle \(XYZ,\) with hypotenuse \(YZ,\) has an incircle of radius \(\dfrac{3}{8}\) and one leg of length 3. Find the area of the triangle.

The answer can be expressed in the form of \(\dfrac{a}{b}\), where \(a\) and \(b\) are coprime positive integers. Enter \(a+b\).

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