Question

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

Answer 1

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.