Chapter 5: Q19 (page 193)

For the following figure, given that $T A = T B = B C$ and $T D = D E = E F$ .
Tony makes up a problem for the figure, setting $A D = 5$ and $C F = 17$ . Katie says, “You can’t do that.” Explain.

Short Answer

Expert verified

The figure is not possible.

Step by step solution

Step 1. Check the figure.

Consider the figure.

Step 2. Step description.

Consider that $T A = A B = B C, T D = D E = E F, A D = 5, C F = 17$ .

Use the mid-segment or median of the trapezoid as follows:

$\begin{array}{l} B E = \frac{A D + C F}{2} \\ B E = \frac{5 + 17}{2} \\ B E = 11 \end{array}$

Step 3. Step description.

AD should be half of BE, but here $A D = 5$ , so the figure is not possible.

Therefore, the figure is not possible.

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For the following figure, given that $T A = T B = B C$ and $T D = D E = E F$ .
Tony makes up a problem for the figure, setting $A D = 5$ and $C F = 17$ . Katie says, “You can’t do that.” Explain.

Short Answer

Step by step solution

Step 1. Check the figure.

Step 2. Step description.

Step 3. Step description.

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For the following figure, given that TA=TB=BCand TD=DE=EF.Tony makes up a problem for the figure, setting AD=5and CF=17. Katie says, “You can’t do that.” Explain.

Short Answer

Step by step solution

Step 1. Check the figure.

Step 2. Step description.

Step 3. Step description.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Logic and Functions

Applied Mathematics

Mechanics Maths

Decision Maths

Probability and Statistics

Discrete Mathematics

Study anywhere. Anytime. Across all devices.

For the following figure, given that $T A = T B = B C$ and $T D = D E = E F$ .
Tony makes up a problem for the figure, setting $A D = 5$ and $C F = 17$ . Katie says, “You can’t do that.” Explain.