Chapter 5.6, Problem 41E

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7th Edition

Alexander + 2 others

ISBN: 9781337614085

Textbook Problem

In the figure, the angle bisectors of

a)

*(HINT: Use Theorem 5.6.3.)*

b)

c)

d) Use results from parts (a), (b), and (c) to show that

To determine

a)

**To find:**

*CD* and *DB*.

Explanation

**Given:**

In the figure, the angle bisectors of

**Theorem used:**

Angle bisector theorem:

If a ray bisects one angle of a triangle, then it divides the opposite side into segments whose lengths are proportional to the lengths of the two sides that form the bisected angle.

**Calculation:**

From the figure, we see that

By angle bisector theorem, we get

From the figure,

To determine

b)

**To find:**

*CE* and *EA*.

To determine

c)

**To find:**

*BF* and *FA*.

To determine

d)

**To prove:**

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