Chapter 4.4, Problem 40E

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7th Edition

Alexander + 2 others

ISBN: 9781337614085

Textbook Problem

Successive steps on a ladder form isosceles trapezoids with the sides. AH = 2 ft and BI = 2.125 ft.

a) Find GN, the width of the bottom step.

b) Which step is the median of the trapezoid with bases

To determine

**(a)**

**To Find:**

GN

Explanation

Consider the following diagram.

It is given that successive steps of a ladder form an isosceles trapezoid.

Also given,

Now, BI becomes the median of the trapezoid AHCJ.

Then,

Substitute,

Therefore,

Now,

Similarly, CJ becomes the median of the trapezoid BIDK.

Then,

To determine

**(b)**

**To Find:**

The median of the trapezoid with the bases

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