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X15WY2421ZIn the diagram, ZXWY ZZWY. Find XY.XY = type your answer...units

X15WY2421ZIn the diagram, ZXWY ZZWY. Find XY.XY = type your answer...units-example-1

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Given data:

The given triangle is shown.

In traingle XWY and triangle ZWY, the ratio of the corresponding sides is,


(XW)/(ZW)=(XY)/(ZY)

Substitute the given values in the above expression.


\begin{gathered} (15)/(21)=(XY)/(ZY) \\ (5)/(7)=(XY)/(YZ) \\ (YZ)/(XY)=(7)/(5) \\ YZ=(7)/(5)XY \end{gathered}

The XZ length is,


\begin{gathered} XZ=XY+YZ \\ 24=XY+(7)/(5)XY \\ 24=(12)/(5)XY \\ XY=10 \end{gathered}

Thus, the XY length is 10 units.

User Soheil Armin
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