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In the diagram, point D divides line segment AB in the ratio of 5:3. If line segment AC is vertical and line segment CD is horizontal, what are the coordinates of point C?

 

 Jul 18, 2020
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Angle  (CAD) = 45º          Ratio  AD :  BD  is   5 : 3

 

AB = 8 / sin(45º) = 8√2         AD = 5√2           BD = 3√2

 

AC = CD = sin(45º) * 5√2  

 

C = (2,-1)  

 Jul 18, 2020

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