Question

For the figure shown, it is given that $\frac{KR}{RT}=\frac{KS}{SU}$. Copy and complete the table.

Short answer

The value of$RT=2,KU=15\text{\hspace{0.17em}and}SU=3$

Step-by-step solution

Step 1. Draw the given figure.

Step 2. Write down the given condition.

$\frac{KR}{RT}=\frac{KS}{SU}$

Step 3. Make the given table.

Step 4. From the table, write down the given values.

$KR=8,KT=10\text{\hspace{0.17em}and}KS=12$

Now,

$\begin{array}{l}RT=KT-KR\\ =10-8\\ \Rightarrow RT=2\end{array}$

And,

$\begin{array}{l}\frac{KR}{RT}=\frac{KS}{SU}\\ \Rightarrow \frac{8}{2}=\frac{12}{SU}\\ \Rightarrow SU=3\end{array}$

And,

$\begin{array}{l}KU=KS+SU\\ =12+3\\ \Rightarrow KU=15\end{array}$

The value of $RT=2,KU=15\text{\hspace{0.17em}and}SU=3$.