Question

Similarity in Right TrianglesWhat is the measure of z?327LYZNxZ =[?]Give your answer in simplest form.Enter

Answer 1

The big triangle and the smallest triangle are similar, then:

`(z)/(27+3)=(3)/(z)\text{.}`

Solving the above equation for z, we get:

`\begin{gathered} (z^2)/(30)=3, \\ z^2=90, \\ z=\sqrt[]{90}. \end{gathered}`

Answer:

`z=3\sqrt[]{10}.`