   Chapter 8.1, Problem 50E Elementary Geometry For College St...

7th Edition
Alexander + 2 others
ISBN: 9781337614085

Solutions

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 ▱ A B C D ,  AB = 7 and B C = 12. The length of altitude A F ¯ (to side B C ¯ ) is 5. Find the length of altitude A E ¯ from A to D C ¯ . To determine

To find:

The length of altitude

Explanation

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

Calculation:

Given,

Here, BC=b=12 and AF=h=5

Area of the parallelogram A=bh unit2.

A=(12)(5)

A=60 unit2.

Find AE:

For A to DC¯

Consider DC¯=b

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