A right triangle is formed in the first quadrant by the x- and y-axes

A right triangle is formed in the first quadrant by the x- and y-axes and a line through the point (1, 2).

a) Write the length L of the hypotenuse as a function of x.
b) Use a graphing utility to approximate x graphically such that the length of the hypotenuse is a minimum.
c) Find the vertices of the triangle such that its area is a minimum.