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Elementary Geometry for College St...

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

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BuyFindarrow_forward

Elementary Geometry for College St...

6th Edition
Daniel C. Alexander + 1 other
ISBN: 9781285195698
Textbook Problem
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Find the exact areas of the shaded regions in Exercises 27 to 31.

Chapter 8.CR, Problem 29CR, Find the exact areas of the shaded regions in Exercises 27 to 31.

To determine

To find:

The exact areas of the shaded regions.

Explanation

Calculation:

Sketch the following diagram:

The area of right angle triangle A=12bh

To find height:

The altitude, h, divides the equilateral into two 30-60-90-degree right triangles and divides the bottom side in half.

Long leg of the triangle = short leg ×3

To find short leg (a) of the triangle:

2a=42a2=42a=2

Long leg of the triangle (a3) = 23

Height (h) = 23 and base (b) = 4

To find the area right angle triangle:

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