   Chapter 4.CR, Problem 20CR Elementary Geometry For College St...

7th Edition
Alexander + 2 others
ISBN: 9781337614085

Solutions

Chapter
Section Elementary Geometry For College St...

7th Edition
Alexander + 2 others
ISBN: 9781337614085
Textbook Problem

One base of a trapezoid has a length of 12.3 cm and the length of the other base is 17.5 cm. Find the length of the median of the trapezoid.

To determine

To Find:

The length of the median of the trapezoid provided the lengths of its bases.

Explanation

Theorem on Trapezoid:

The length of the median of a trapezoid equals one-half the sum of the lengths of the two bases. That is, the length of the median of a trapezoid is the average of the lengths of the bases. Where m is the length of the median and b1 and b2 are the lengths of the bases, m=12(b1+b2); equivalently, m=b1+b22.

Calculation:

It is given that the base lengths of the trapezoid are 12.3 cm and 17.5 cm.

Let the bases are b1 and b2

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