2018 AMC 8 Problems/Problem 20
Problem 20
In a point
is on
with
and
Point
is on
so that
and point
is on
so that
What is the ratio of the area of
to the area of
Solution
By similar triangles, we have . Similarly, we see that
Using this information, we get
Then, since
, it follows that the
. Thus, the answer would be
Sidenote: denotes the area of triangle
. Similarly,
denotes the area of figure
See Also
2018 AMC 8 (Problems • Answer Key • Resources) | ||
Preceded by Problem 19 |
Followed by Problem 21 | |
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All AJHSME/AMC 8 Problems and Solutions |
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