Finding the side lengths of the given triangle.
Length A right triangle is formed in the first quadrant by the x- and y-axes and a line through the point (1, 2) (see figure).
(a) Write the length L of the hypotenuse as a function of x.
(b) Use a graphing utility to graphically approximate x such that the length of the hypotenuse is a minimum.
(c) Find the vertices of the triangle such that its area is a minimum.
