(photo is for reference of an inscribed square within a right triangle)
An isosceles right triangle with legs of length 8 will lead to an inscribed square with a side length of 4. Find the dimensions of a different NON-isosceles right triangle such that the inscribed square has a side length of 4. Hint: there might be more than one possible answer.
If the dimensions of the right triangle MUST be integers (no decimals), then how many different triangles will lead to an inscribed square with a SIDE LENGTH OF 1? What are the dimensions of these triangle(s)? How do you know these are all the solutions (in other words, how do you know there cannot be any more solutions?)?
