   Chapter 8.CR, Problem 12CR 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

Given: Kite ABCD with   A B = 10 B C = 17 ,  and  B D = 16 Find: A A B C D To determine

To find:

AABCD

Explanation

Corollary:

The area A of a kite whose diagonals have lengths d1 and d2 is given by

A=12d1d2

Calculation:

The kite ABCD has lengths:

AB=10,BC=17, and BD=16

Sketch the kite ABCD as shown below:

d1=BD=16

To find d2:

AE2=AB2BE2=10282=10064=36AE=36AE=6

EC2=BC2BE2=17282

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