Need some help with this one.
and intersect two parallel lines, and each other at a point on the interior of the parallel lines. Point is units from . How far from should the point be so that the sum of the triangles and is a minimum?
I'm having some trouble with the setup. Any help would be appreciated.
Thanks.
Let,
m be the distance between S and Q (which we have to eventually determine)
n be the distance between parallel lines
be the altitude of \triangle PTR i.e. area of \triangle PTR=
be the altitude of \triangle STQ i.e. area of \triangle STQ=
hence, sum= ...........(1)
Now,
Substitute value of and in equation 1 and differentiate with respect to m to maximize area.