   Chapter 5.6, Problem 15E 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

Given: U T → bisects ∠ W U V , W U = 8 , U V = 12 , W T = 6 Find: T V To determine

To find:

TV.

Explanation

Given:

UT bisects WUV, WU=8,UV=12,WT=6.

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:

Given: UT bisects WUV.

Then by angle-bisector theorem, the ray UT divides the opposite side into segments whose lengths are proportional to the lengths of the two sides that form the bisected angle

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