Chapter 5: Q10 (page 180)

$\overset{\leftrightarrow}{AE}, \overset{\leftrightarrow}{BF}, \overset{\leftrightarrow}{CG}$ and $\overset{\leftrightarrow}{DH}$ are parallel, with $EF = FG = GH$ . Complete.
If $AB = 5$ , then $AD =$ ? .

Short Answer

Expert verified

The length of AD is 15 units.

Step by step solution

Step 1. Consider the diagram.

The parallel lines are shown as:

AE, BF, CG and DH are parallel to each other and $E F = F G = G H$ .

The length of AB is 5 units

Step 2. Show the calculation.

Here, ADHE is the trapezoid as AE is parallel to DH.

As $E F = F G = G H$ and AE, BF, CG and DH are parallel to each other then the lines BF and CG are the midsegment of the trapezoid.

Hence,

$E F = F G = G H$

The length of AD is calculated as:

$\begin{matrix} A D = A B + B C + C D \\ = A B + A B + A B \\ = 5 + 5 + 5 \\ = 15 \end{matrix}$

Thus, the length of AD is 15 units.

Step 3. State the conclusion.

Therefore, the length of AD is 15 units.

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$\overset{\leftrightarrow}{AE}, \overset{\leftrightarrow}{BF}, \overset{\leftrightarrow}{CG}$ and $\overset{\leftrightarrow}{DH}$ are parallel, with $EF = FG = GH$ . Complete.
If $AB = 5$ , then $AD =$ ? .

Short Answer

Step by step solution

Step 1. Consider the diagram.

Step 2. Show the calculation.

Step 3. State the conclusion.

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AE↔,BF↔,CG↔and DH↔are parallel, with EF=FG=GH. Complete.If AB=5, then AD= ? .

Short Answer

Step by step solution

Step 1. Consider the diagram.

Step 2. Show the calculation.

Step 3. State the conclusion.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Theoretical and Mathematical Physics

Probability and Statistics

Decision Maths

Applied Mathematics

Discrete Mathematics

Geometry

Study anywhere. Anytime. Across all devices.

$\overset{\leftrightarrow}{AE}, \overset{\leftrightarrow}{BF}, \overset{\leftrightarrow}{CG}$ and $\overset{\leftrightarrow}{DH}$ are parallel, with $EF = FG = GH$ . Complete.
If $AB = 5$ , then $AD =$ ? .