How can you accurately construct the inscribed circle of a right-angled triangle?

What might be the same and what might be different about your approach to this problem if you were working with graphing software compared to working on paper?

Diagram shows blue circle inside a right-angled triangle, touching in 3 places

Can you find a right-angled triangle for which the inscribed circle has a radius of \(6\)?

Is your solution unique?