   Chapter 11.4, Problem 59E ### Algebra and Trigonometry (MindTap ...

4th Edition
James Stewart + 2 others
ISBN: 9781305071742

#### Solutions

Chapter
Section ### Algebra and Trigonometry (MindTap ...

4th Edition
James Stewart + 2 others
ISBN: 9781305071742
Textbook Problem

# 57-60 Area of a Triangle Sketch the triangle with the given vertices, and use a determinant to find its area. ( − 1 , 3 ) , ( 2 , 9 ) , ( 5 , − 6 )

To determine

To graph:

A triangle with vertices (1,3), (2,9), (5,6) and use a determinant to find its area.

Explanation

Approach:

The determinant is a value assigned to a square matrix.

The area of a triangle with vertices (a1,b1), (a2,b2) and (a3,b3) is given below.

A=±12|a1b11a2b21a3b31|

Calculations:

Consider the vertices (1,3), (2,9), (5,6).

The triangle corresponding to the vertices is given below.

Figure (1)

The area of the triangle is calculated using the above mentioned formula.

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