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 $KT=21,KU=28\text{\hspace{0.17em}and}SU=\text{'}12$

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.

$KR=12,RT=9\text{\hspace{0.17em}and}KS=16$

Now,

$\begin{array}{l}KT=KR+RT\\ =12+9\\ \Rightarrow KT=21\end{array}$

And,

$\begin{array}{l}\frac{KR}{RT}=\frac{KS}{SU}\\ \Rightarrow \frac{12}{9}=\frac{16}{SU}\\ \Rightarrow SU=12\end{array}$

And,

$\begin{array}{l}KU=KS+SU\\ =16+12\\ \Rightarrow KU=28\end{array}$

Therefore, the value of $KT=21,KU=28\text{\hspace{0.17em}and}SU=\text{'}12$.