1965 AHSME Problems/Problem 37
Problem
Point is selected on side
of
in such a way that
and point
is selected on side
such that
. The point of intersection of
and
is
. Then
is:
Solution
We use mass points for this problem. Let denote the mass of point
.
Rewrite the expression we are finding as
Now, let
. We then have
, so
, and
We can let
. We have
From here, substitute the respective values to get
~JustinLee2017