Find the point, M, that divides segment AB into a ratio of 5:6 if A is at (0, 22) and B is at (11, 0).

Answer 1

This is a use of the so-called "Side-Splitterr" Theorem.

A line parallel to one side of a triangle splits the other sides into proportional segments.

Draw a figure and you will easily see that the point required is (6,10).

The longer segment of the hypotenuse is 6√5 and the smaller is 5√5.