Chapter 5.4, Problem 24E

### 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

# The diagonals of a rhombus measure 6 m and 8 m. How long are each of the congruent sides?

To determine

To Find:

Lengths of the congruent side of the rhombus.

Explanation

Given The diagonals of a rhombus measure 6 m and 8 m.

The figure can be redrawn as,

From the given data,

Length of one diagonal is 8 m.

And the length of the other diagonal is 6 m.

From the figure,

AC= 8,

Then AO=12(AC)=12(8)=4.

BO=12(BD)=12(6)=3.

Let AB= x.

Then the ABO becomes the right triangle, with sides of the triangle are 3 m and 4 m

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