Chapter 8.CR, Problem 29CR

### 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

# 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 Ã—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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