SOLUTION: In triangle CDE, CD = 3y, DE = 30, and CE = 45. Determine the range of possible values for y.

Algebra ->  Triangles -> SOLUTION: In triangle CDE, CD = 3y, DE = 30, and CE = 45. Determine the range of possible values for y.      Log On


   



Question 78262: In triangle CDE, CD = 3y, DE = 30, and CE = 45. Determine the range of possible values for y.
Answer by checkley75(3666) About Me  (Show Source):
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30^2+45^2=(3Y)^2
900+2025=(3Y)^2
2925=(3Y)^2
(3Y)=54.08
Y=54.08/3
Y=18.03 IF THE Y SIDE IS THE HYPOTENUSE.
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30^2+(3Y)^2=45^2
(3Y)^2+900=2025
(3Y)^2=2025-900
(3Y)^2=1125
3Y=33.54
Y=33.54/3
Y=11.18 IF Y IS ONE OF THE SHORTER SIDES.