Chapter 4.4, Problem 36E

### Elementary Geometry For College St...

7th Edition
Alexander + 2 others
ISBN: 9781337614085

Chapter
Section

### Elementary Geometry For College St...

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

# For exercises 36 and 37, E F ¯ is the median of trapezoid ABCD in the figure above.Suppose that A B = 12.8             a n d             D C = 18.4 Find: (a) MF (b) EF (c) EM (d) Whether E F = 1 2 ( A B + D C ) Exercises 35-37

To determine

(a)

To Find:

MF

Explanation

Consider the following diagram.

Given: AB = 12.8 and DC = 18.4.

Consider the triangle Î”ABC.

We know that the line segment that joins the midpoints of two sides of a triangle is parallel to the third side and has a length equal to one half the length of the third side.

Here, the line segment MF joins the midpoints of AC

To determine

(b)

To Find:

EM

To determine

(c)

To Find:

EF

To determine

(d)

To Find:

Whether EF=12(AB+DC)

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