   Chapter 5.6, Problem 21E Elementary Geometry For College St...

7th Edition
Alexander + 2 others
ISBN: 9781337614085

Solutions

Chapter
Section Elementary Geometry For College St...

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

In Δ A B C , ∠ A C B is trisected by C D → and C E → so that ∠ 1 ≅ ∠ 2 ≅ ∠ 3. Write two different proportions that follow from this information. To determine

To write:

Two proportions that follow from the given information.

Explanation

Given:

In ΔABC, ACB is trisected by CD and CE so that 123.

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 the given figure.

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