Chapter 4.4, Problem 37E

### 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 E M = 7.1             a n d             M F = 3.5 Find: (a) AB (b) EF (c) DC (d) Whether E F = 1 2 ( A B + D C ) Exercises 35-37

To determine

(a)

To Find:

AB

Explanation

Consider the following diagram.

Given: EM = 7.1 and MF = 3.5.

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 ACÂ¯

To determine

(b)

To Find:

DC

To determine

(c)

To Find:

EF

To determine

(d)

To Find:

Whether EF=12(AB+DC)

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