Chapter 8.1, Problem 49E

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 47 to 50, use the fact that the area of the polygon is unique.In ▱ M N P Q ,   Q P = 12 and Q M = 9. The length of altitude Q R ¯ (to side M N ¯ ) is 6. Find the length of a altitude Q S ¯ from Q to P N ¯ .

To determine

To find:

The length of the altitudes

Explanation

Converting theoretical statement into mathematical statement, identifying the geometric figure and the calculation is done by suitable geometric formulae.

Calculation:

Given,

Here, MN=b=12

QR=h=6

Area of the parallelogram A=bhÂ unit2

=(12)(6)

=72Â unit2

Find QSÂ¯

For QÂ toÂ PNÂ¯

Choosing

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