Question

S is the midpoint of $\overrightarrow{RT}$ and W is the midpoint of $\overrightarrow{ST}$. If $RT=32$. Find ST, WT and RW.

Short answer

$ST=16,WT=8$ and $RW=24$.

Step-by-step solution

Step 1. Sketch the diagram.

S is the midpoint of $\overrightarrow{RT}$ and W is the midpoint of $\overrightarrow{ST}$and $RT=32$.

Step 2. State the concept used.

The midpoint divides the given line segment in to two equal parts.

Step 3. Show the calculation.

From the above diagram,

$\begin{array}{c}ST=\frac{RT}{2}\\ =\frac{32}{2}\\ =16\end{array}$

And

$\begin{array}{c}WT=\frac{ST}{2}\\ =\frac{16}{2}\\ =8\end{array}$

Then,

$$\begin{gathered} RW=RS+SW \\ =ST+WT \\ =16+8 \\ =24 \end{gathered}$$

Step 4. State the conclusion.

Therefore,

$ST=16$, $WT=8$and $RW=24$.