   Chapter 5.4, Problem 10E ### Elementary Geometry for College St...

6th Edition
Daniel C. Alexander + 1 other
ISBN: 9781285195698

#### Solutions

Chapter
Section ### Elementary Geometry for College St...

6th Edition
Daniel C. Alexander + 1 other
ISBN: 9781285195698
Textbook Problem
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# Find DF if:a) D E = 12 and E F = 5 b) D F = 12 and E F = 6 . Exercises 7-10

To determine

(a)

To Find:

The length of DF¯.

Explanation

Given DE=12 and EF= 5,

And figure,

From the figure,

ΔDEF is a right triangle with right angle E

From the Pythagorean Theorem,

The square of the length of hypotenuse of a right triangle is equal to the sum of the square of the lengths of the other two sides.

From the figure, DF¯ is the hypotenuse,

DF2=E<

To determine

(b)

To Find:

The length of DF¯.

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