## In triangle $$ABC,$$ point $$X$$ is the midpoint of side $$AC$$ and point $$Y$$ is the midpoint of side $$BC.$$ If point

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### In triangle $$ABC,$$ point $$X$$ is the midpoint of side $$AC$$ and point $$Y$$ is the midpoint of side $$BC.$$ If point

by Vincen » Fri Sep 03, 2021 9:48 am

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In triangle $$ABC,$$ point $$X$$ is the midpoint of side $$AC$$ and point $$Y$$ is the midpoint of side $$BC.$$ If point $$R$$ is the midpoint of line segment $$XC$$ and if point $$S$$ is the midpoint of line segment $$YC,$$ what is the area of triangular region $$RCS?$$

(1) The area of triangular region $$ABX$$ is $$32.$$
(2) The length of one of the altitudes of triangle $$ABC$$ is $$8.$$