2016 AMC 12A Problems/Problem 12
Solution
By the angle bisector theorem,
so
Similarly,
Now, we use mass points. Assign point a mass of
.
, so
Similarly, will have a mass of
So
By the angle bisector theorem,
so
Similarly,
Now, we use mass points. Assign point a mass of
.
, so
Similarly, will have a mass of
So
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