   Chapter 5.CR, Problem 31CR ### 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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# Given: Δ A B C       with     right     ∠ B A C A D ¯ ⊥ B C ¯ a ) B D = 12 , A D = 9 , D C = ? b ) D C = 5 , B C = 15 , A D = ? c ) A D = 2 , D C = 8 , A B = ? d ) A B = 2 6 , D C = 2 , D C = ? To determine

a)

To find:

DC

Explanation

Given:

And

That is,

Approach:

By using angle-bisector theorem, that is “if a ray bisects of an angle of a triangle, then it divides the opposite side into two segments whose length are proportional to the lengths of the two sides that from the bisected angle”

Let x be the length of DC

To determine

b)

To find:

To determine

c)

To find:

AB

To determine

d)

To find:

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