Question

Trying figure out to solve the problem. I went wrong somewhere. I have x=35, y=7.7, z=84

Answer 1

The value of x,y and z is;

`\begin{gathered} x=5.92 \\ y=7.75 \\ z=9.17 \end{gathered}`

Step-by-step explanation:

We want to find the values of x,y and z.

Given the figure in the attached image;

The triangle is divided into two similar triangles and the ratio of their sides will be equal;

`(x)/(5)=(7)/(x)`

solving for x; cross multiply

`\begin{gathered} x^2=7(5) \\ x^2=35 \\ x=\sqrt[]{35} \\ x=5.92 \end{gathered}`

To get the value of y and z, we can use Pythagorean theorem or still applt the method above;

`\begin{gathered} (y)/(5)=((5+7))/(y) \\ y^2=5(12) \\ y^2=60 \\ y=\sqrt[]{60} \\ y=7.75 \end{gathered}`

For z;

`\begin{gathered} (z)/(7)=((5+7))/(z) \\ z^2=7(5+7) \\ z^2=7(12) \\ z^2=84 \\ z=\sqrt[]{84} \\ z=9.17 \end{gathered}`

The value of x,y and z is;

`\begin{gathered} x=5.92 \\ y=7.75 \\ z=9.17 \end{gathered}`