Question

I need help with how to find x and y

Answer 1

Solution:

Given:

Since triangle TUS and triangle TVW are similar, then the ratios of corresponding sides are in proportion.

Hence,

$\begin{gathered} \frac{y}{6}=\frac{27}{54} \\ \frac{y}{6}=\frac{1}{2} \\ Cross\text{ multiplying;} \\ 2y=6 \\ y=\frac{6}{2} \\ y=3 \end{gathered}$

Also,

$\begin{gathered} \frac{4}{6}=\frac{x}{54} \\ Cross\text{ multiplying;} \\ 6x=4\times54 \\ 6x=216 \\ x=\frac{216}{6} \\ x=36 \end{gathered}$

Therefore,

x = 36

y = 3