What are the coordinates of the points a and b and minimize the length of the hypotenuse of a right triangle that is formed in the first quadrant by the x-axis, the y-axis, and a line through the point (1,2) where point a is at (0,y) and point b is at (x,0)?

Question

Isabella Ackerman · Accepted Answer

#(x_0,y_0) = (1,2)#

Suppose that the base point along the Y-axis is some scaled factor, #s#, of #y_0# beyond #y_0\#

That is the point on the Y-axis #(0,y_a)# is at
#(0, y_0 + s*(y_0))#
or #(0,2 + 2s)# in our particular case

Elijah Abram · Answer

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