97.7k views
1 vote
Similarity in Right TrianglesWhat is the measure of z?327LYZNxZ =[?]Give your answer in simplest form.Enter

Similarity in Right TrianglesWhat is the measure of z?327LYZNxZ =[?]Give your answer-example-1

1 Answer

4 votes

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}.

User Kopaka
by
8.1k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories