Chapter 5.6, Problem 38E

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7th Edition

Alexander + 2 others

ISBN: 9781337614085

Textbook Problem

In right

*(HINT: Let *
*Then use the Pythagorean Theorem.)*

To determine

**To find:**

*BD *and *AB*.

Explanation

**Given:**

In a right

**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:**

Consider a right

Given that

By angle bisector theorem, we get

We have

Let

From the figure we see that,

Consider the right triangle *ABC* with right angle at *C*

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