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, Problem 12RP
To determine

To find: the area of triangle with having given three vertices.

Expert Solution & Answer
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Answer to Problem 12RP

  55.5 sq unit.

Explanation of Solution

Given:

  (5,1),(16,4) and (3,12). .

Concept used:

Area of triangle having vertices:

  12|x1(y2y3)+x2(y3y1)+x3(y1y2)| .

Calculation:

According to the given the three vertices of the triangle are:

  (5,1),(16,4) and (3,12).

The area of triangle from the three vertices of the triangle is:

  12|x1(y2y3)+x2(y3y1)+x3(y1y2)|.12|5(412)+16(121)+3(1(4))|.1112=55.5.

Hence, the area of the triangle 55.5 sq unit.

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