Geometry For Enjoyment And Challenge
Geometry For Enjoyment And Challenge
91st Edition
ISBN: 9780866099653
Author: Richard Rhoad, George Milauskas, Robert Whipple
Publisher: McDougal Littell
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Chapter 16.2, Problem 5PS
To determine

To find: Thepossible values of x .

Expert Solution & Answer
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Answer to Problem 5PS

The possible values of x are 7611or 9211 .

Explanation of Solution

Given information:

The coordinates of the vertices of the triangle are (2,6),(4,17),and(x,11) . The area of the triangle is 42 .

The area of ΔTRY is calculated as,

  A=12|(2)(17)+4(11)+6x(2)(11)4(6)17x|42=12|(2)(17)+4(11)+6x(2)(11)4(6)17x|84=|811x|x=7611or 9211

Thus, the possible values of x are 7611or 9211 .

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