2017 AMC 8 Problems/Problem 16
Problem 16
In the figure below, choose point on
so that
and
have equal perimeters. What is the area of
?
Solution
We know that the perimeters of the two small triangles are and
Setting both equal and using
we have
and
Now, we simply have to find the area of
We can use
as the base and the altitude from
. Let's call the foot of the altitude
We have
similar to
See Also
2017 AMC 8 (Problems • Answer Key • Resources) | ||
Preceded by Problem 15 |
Followed by Problem 17 | |
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