Area of Triangle With Vertices

harpazo

harpazo

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A triangle has vertices (x_1, y_1), (x_2, y_2), and (x_3, y_3). The area of the triangle is given by the absolute value of D, where the value of D is shown in the picture below.

20190925_112216.jpg

Use this formula to find the area of a triangle with vertices (2, 3), (5, 2), and (6, 5).

Do I simply plug and chug the values of the coordinates given as vertices into the formula for D? I say yes. What do you say?
 
harpazo said:
A triangle has vertices (x_1, y_1), (x_2, y_2), and (x_3, y_3). The area of the triangle is given by the absolute value of D, where the value of D is shown in the picture below.

View attachment 13852

Use this formula to find the area of a triangle with vertices (2, 3), (5, 2), and (6, 5).

Do I simply plug and chug the values of the coordinates given as vertices into the formula for D? I say yes. What do you say?
Click to expand...
Yes
 
That's correct.

And if you want to have some fun, try plotting the points and working out the area geometrically. (With a nice number for the answer, you can expect something to be relatively easy, and it is.) I always like seeing for myself that a formula really works, rather than blindly trusting an author.
 
Dr.Peterson said:
That's correct.

And if you want to have some fun, try plotting the points and working out the area geometrically. (With a nice number for the answer, you can expect something to be relatively easy, and it is.) I always like seeing for myself that a formula really works, rather than blindly trusting an author.
Click to expand...

I'll try that in the morning. On my way to start my overnight shift.
 
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