Chapter 4.CR, Problem 15CR

### 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

# Review ExercisesThe diagonals of ▱ A B C D (not shown) are perpendicular. If one diagonal has a length of 10 and the other diagonal has a length of 24, find the perimeter of the parallelogram.

To determine

To Find:

The measure of angle C of the parallelogram ABCD with the help of provided information.

Explanation

Properties Used:

1. The diagonals of a parallelogram bisect each other.

2. The opposite sides of a parallelogram are congruent.

Calculation:

It is given that ABCD is a parallelogram with its diagonals perpendicular to each other.

Also given that one of the diagonals lengths is 10 units and other is 24 units.

Let it be AC=10 units and BD=24 units.

Since the diagonals of the parallelogram are perpendicular to each other, it must be a rhombus.

Let the perpendicular bisecting point be â€˜Oâ€™.

Since diagonals bisects each other, BO=OD=BD2=242=12 units and AO=OC=A

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