2017 AMC 12A Problems/Problem 19
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Problem
A square with side length is inscribed in a right triangle with sides of length
,
, and
so that one vertex of the square coincides with the right-angle vertex of the triangle. A square with side length
is inscribed in another right triangle with sides of length
,
, and
so that one side of the square lies on the hypotenuse of the triangle. What is
?