Chapter 8.1, Problem 22E

### 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

# In Exercises 19 to 22, find the area of the shaded region.A and B are midpoints.

To determine

To find:

The area of the shaded region.

Explanation

Finding the area of the figure is followed by identifying the figure and find area with the suitable geometry formulae.

Calculation:

Given,

This figure represents the right triangle inscribed in the larger right triangle A and B are midpoints.

Thus,

TheÂ areaÂ ofÂ theÂ shadedÂ regionÂ A=(A1)Â areaÂ ofÂ theÂ largerÂ rightÂ triangleâˆ’(A2)areaÂ ofÂ theÂ smalerÂ rightÂ triangle (i.e.) A=A1âˆ’A2

Area of the right triangle =12ab

Where, a and b the legs of a right triangle

Here, a1=6

a2=62 [since A and B are midpoints]

b1=8

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