1965 AHSME Problems/Problem 37
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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
This answer corresponds to answer
.
~JustinLee2017
See Also
1965 AHSC (Problems • Answer Key • Resources) | ||
Preceded by Problem 35 |
Followed by Problem 37 | |
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All AHSME Problems and Solutions |
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