Chapter 4.2, Problem 10E

### 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

# In ∆ A B C , M and N are midpoints of A C ¯ and B C ¯ , respectively. If M N = 7.65 , how long is A B ¯ ?

To determine

The length of AB¯.

Explanation

Approach:

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

Calculation:

Given,

M and N are the mid points of the sides AC and BC respectively

MN=7.65

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

Thus,

MNÂ¯=12ABÂ¯

7

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