Chapter 2: Q6. (page 68)

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

Short Answer

Expert verified

$S T = 16, W T = 8$ and $R W = 24$ .

Step by step solution

Step 1. Sketch the diagram.

S is the midpoint of $\vec{R T}$ and W is the midpoint of $\vec{S T}$ and $R T = 32$ .

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,

$\begin{matrix} S T = \frac{R T}{2} \\ = \frac{32}{2} \\ = 16 \end{matrix}$

And

$\begin{matrix} W T = \frac{S T}{2} \\ = \frac{16}{2} \\ = 8 \end{matrix}$

Then,

$R W = R S + S W = S T + W T = 16 + 8 = 24$

Step 4. State the conclusion.

Therefore,

$S T = 16$ , $W T = 8$ and $R W = 24$ .

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

Short Answer

Step by step solution

Step 1. Sketch the diagram.

Step 2. State the concept used.

Step 3. Show the calculation.

Step 4. State the conclusion.

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S is the midpoint of RT→ and W is the midpoint of ST→. If RT=32. Find ST, WT and RW.

Short Answer

Step by step solution

Step 1. Sketch the diagram.

Step 2. State the concept used.

Step 3. Show the calculation.

Step 4. State the conclusion.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Applied Mathematics

Theoretical and Mathematical Physics

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Discrete Mathematics

Study anywhere. Anytime. Across all devices.

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