1971 AHSME Problems/Problem 26
Problem
In , point
divides side
in the ratio
. Let
be the point of intersection of side
and
where
is the
midpoints of
. The point
divides side
in the ratio
Solution
We will use mass points to solve this problem. is in the ratio
so we will assign a mass of
to point
a mass of
to point
and a mass of
to point
We also know that is the midpoint of
so
has a mass of
so
also has a mass of
In line
has a mass of
and
has a mass of
Therefore,
The answer is
-edited by coolmath34