SOLUTION: What is the area of the triangle with vertices (1, 4), (3, 1) and (11, 1)?

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Question 234479: What is the area of the triangle with vertices (1, 4), (3, 1) and (11, 1)?
Answer by Edwin McCravy(20056)   (Show Source): You can put this solution on YOUR website!
What is the area of the triangle with vertices (1, 4), (3, 1) and (11, 1)?

The formula for the area of a triangle with vertices

(,), (,), (,)

is 

 

The double bars around the determinant indicate
the absolute value of the determinant:



Just for fun, let's check by drawing the triangle:

 

Counting the units in the base of the triangle,
we see that the base is 8 units.  Counting the units
in the altitude, or height, of the triangle, we
see that it is 3 units high.  Therefore using the
basic formula for a triangle .

Edwin
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