Chapter 8.1, Problem 50E

### 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 ▱ 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=12Â andÂ AF=h=5

Area of the parallelogram A=bhÂ unit2.

A=(12)(5)

A=60Â unit2.

Find AE:

For AÂ toÂ DCÂ¯

Consider DCÂ¯=b

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