   Chapter 5.4, Problem 33E 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 quadrilateral RSTU, R S ¯ ⊥ S T ¯ and U T ¯ ⊥ diagonal R T ¯ . If RS=6, ST= 8, and RU = 15, determine UT. To determine

To Find:

The Length of UT.

Explanation

Given In quadrilateral RSTU, RS¯ST¯ and UT¯ diagonal RT¯. If RS=6, ST= 8, and RU = 15,

From the given data,

RS = 6, ST = 8 and RU =15.

From the figure,

RS¯ST¯ and UT¯RT¯.

So RST is a right triangle, then

From the Pythagorean Theorem,

RT2=RS2+ST2RT2=(6)2+(

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