I must be misunderstanding this problem. It seems to be that a triangle with x = 20 and y = 30 could not have an area greater than x*y/2 = 300. Yet, problem 1 says the area is 600. How could it be so large? My calculations says that with this x and y, there is no solution for r = 10.
in the triangle ABC, the radius of the circle intersects AB in the point 'c' (small letter c in the figure).
There, Ac=x and Bc=y.
I see. Then you need to change the statement of the problem to say "Ac = x" and "Bc = y", rather than "AC = x" and "BC = y". Since "C" and "c" are different points on the diagram, this changes the problem completely. As written, the problem is quite difficult to solve.
yes .. i didn't see that before
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