Chapter 5.4, Problem 28E

### 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 right Δ A B C with right ∠ C , AB=10 and BC=8. Find the length of M B ¯ if M is the midpoint of A C ¯ .

To determine

To Find:

Length of the MB¯.

Explanation

Given In right Î”ABC with right âˆ C, AB=10 and BC=8.

The figure can be redrawn as,

c

From the given data,

Let the length of MB is x.

From the figure,

AB = 10, BC = 8.

Now ABC is right triangle then

From the Pythagorean Theorem,

AB2=AC2+BC2102=AC2+82100=AC2+64AC2=100âˆ’64AC2=36AC=36AC=6

Now as given M is the midpoint then

MC=12

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