   Chapter 5.4, Problem 29E 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

In right Δ A B C with right ∠ C , AB=17 and BC=15. Find the length of M N ¯ if M and N are the midpoint of A B ¯ and B C ¯ , respectively.

To determine

To Find:

Length of the MN¯.

Explanation

Given In right ΔABC with right C, AB=17 and BC=15, and M, N are the midpoints if AB and BC.

The figure can be as,

From the given data,

Let the length of MN is x.

From the figure,

AB = 17, BC = 15.

Now ABC is right triangle then

From the Pythagorean Theorem,

AB2=AC2+BC2172=AC2+152289=AC2+225AC2=289225A

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