Question

http://usatestprep.com/modules/gallery/files/12/1210/1210.gif


The triangles shown are similar. Find MV.


A)
2

B)
3

C)
7

D)
9

Answer 1

\(\large\tt \begin{align} \color{black}{
\triangle MTV \approx \triangle CSI \\~\\

}\end{align}\)

therefore

\(\large\tt \begin{align} \color{black}{
\dfrac{MT}{CS}=\dfrac{MV}{CI}\\~\\
\dfrac{3}{2}=\dfrac{MV}{6}\\~\\
MV=\dfrac{3\times 6}{2}\\~\\
=9\\~\\
}\end{align}\)