Question: 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)

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 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.

4 3 2 1 y (0, y) (1, 2) 1 2 (x,

4 3 2 1 y (0, y) (1, 2) 1 2 (x, 0) 3 4

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