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Elementary Geometry For College St...

7th Edition
Alexander + 2 others
ISBN: 9781337614085

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Chapter
Section
BuyFindarrow_forward

Elementary Geometry For College St...

7th Edition
Alexander + 2 others
ISBN: 9781337614085
Textbook Problem

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:

ΔABC with right BACAD¯BC¯

And

BD=12 and AD=9

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:

The value of AD.

To determine

c)

To find:

AB

To determine

d)

To find:

The value of AD.

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