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In isosceles right triangle $ABC$, shown here, $AC=BC$. Point $X$ is on side $BC$ such that $CX=6$ and $XB=12$, and $Y$ is on side $AB$ such that $\overline{XY}\perp\overline{AB}$. What is the ratio of the area of triangle $BXY$ to the area of triangle $ABC$?

 Feb 9, 2021
 #1
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The ratio of the area of triangle BXY to the area of triangle ABC is 4/3.

 Feb 10, 2021
 #2
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[BXY] : [ABC] = 4 : 18

 Feb 10, 2021

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