2019 AMC 8 Problems/Problem 24
Problem 24
In triangle , point
divides side
s that
. Let
be the midpoint of
and left
be the point of intersection of line
and line
. Given that the area of
is
, what is the area of
?
Solution 1
Draw so that
is parallel to
. That makes triangles
and
congruent since
=
.
=3
so
=4
. Since
=3
(
=
and
=1/3
, so
=
=1/3
), the altitude of triangle
is equal to 1/3 of the altitude of
. The area of
is 360, so the area of
=1/3*1/4*360=
~heeeeeeeheeeee
See Also
2019 AMC 8 (Problems • Answer Key • Resources) | ||
Preceded by Problem 23 |
Followed by Problem 25 | |
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