Question

3.2 Similar FiguresIf AABC - AXYZ find the length of the missing side.Show all work.

Answer 1

XYZ and ABC are similar triangles. Thus, the ratio of the concurrent sides will be the same.

`(XZ)/(AC)=(XY)/(AB)`

Substitute values in the above expression.

`\begin{gathered} (m)/(7)=(49)/(23) \\ m=(49)/(23)*7 \\ m=(343)/(23) \\ m=14.91 \end{gathered}`

Thus, the length of side m is 14.91 .