answersLogoWhite

0

Let the 3 vertices of the triangle be 3 points. Each point is an ordered pair. Write the 3 points as rows of a 3x3 matrix with each point being a row and the third entry in each row is 1. For example if one vertex was located at (1,2) The row of the matrix would be 1 2 1

Do the same with all the vertices.

Then take 1/2 the determinant of that matrix and that is the area. If it is a negative number, then take the positive value. It will be negative or positive depending on the order of the rows, but area is always positive.

User Avatar

Wiki User

15y ago

Still curious? Ask our experts.

Chat with our AI personalities

RafaRafa
There's no fun in playing it safe. Why not try something a little unhinged?
Chat with Rafa
ReneRene
Change my mind. I dare you.
Chat with Rene
JordanJordan
Looking for a career mentor? I've seen my fair share of shake-ups.
Chat with Jordan

Add your answer:

Earn +20 pts
Q: How do you find areas of triangle using determinants?
Write your answer...
Submit
Still have questions?
magnify glass
imp