   Chapter 8.CR, Problem 17CR ### Elementary Geometry for College St...

6th Edition
Daniel C. Alexander + 1 other
ISBN: 9781285195698

#### Solutions

Chapter
Section ### Elementary Geometry for College St...

6th Edition
Daniel C. Alexander + 1 other
ISBN: 9781285195698
Textbook Problem
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# If A C ¯ is a diameter of O, find the area of the shaded triangle. Exercise 17

To determine

To find:

The area of the shaded triangle.

Explanation

Theorem:

1. The area A of a triangle whose base has length b and whose corresponding altitude has length h is given by

A=12bh

2. The area A of a square whose sides are each of length s is given by A=s2

Calculation:

Sketch the following diagram:

To find ΔAABC:

ΔAABC=12bh=12×11×12=11×6=66 cm2

To find ABFDE:

ABFDE=s2=42=16cm2

To find ΔACDF:

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