Chapter 5.6, Problem 21E

### Elementary Geometry For College St...

7th Edition
Alexander + 2 others
ISBN: 9781337614085

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 Î”ABC, âˆ ACB is trisected by CDâ†’ and CEâ†’ so that âˆ 1â‰…âˆ 2â‰…âˆ 3.

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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