Chapter 4.CR, Problem 21CR

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7th Edition

Alexander + 2 others

ISBN: 9781337614085

Textbook Problem

**Review Exercises**

In trapezoid

To determine

**To Find:**

The length of the bases of the trapezoid provided the lengths of its median and length of the bases in expression.

Explanation

**Definition:**

When the midpoints of the two legs of a trapezoid are joined, the resulting line segment is known as the median of the trapezoid.

**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

**Calculation:**

It is given that

By the definition of median, RS is the median of the trapezoid

It is provided that

Also provided that the base lengths of the trapezoid are

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