The Tryhard Common Sense Problem
The function outputs the x-coordinate of a triangle plotted in the coordinate plane. More specifically, one vertex will be plotted at 0,0, the next at c,0, and the next at d,y, for some y which might be touched on in the next problem. Note that a,b,c are the side lengths of the triangle and one endpoint of side a is the origin. Let the operator n(y) be represented as . Find for a,b,c = 3,4,5.
The answer is 0.
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1 solution
Notice that the coordinate d,y is just the intersection of two circles with radii a and b with with the center of the former at the origin and the latter at c,0. We can put the circles' equation in a one variable form as we are dealing with non negative y values and solve for x. We get (a^2+c^2-b^2)/2c. By the time we get to d/dc the derivative is already equal to 0, thus the answer being 0.