Where did this equation come from?

  • Thread starter your
  • Start date
  • #1
1
0
I was perusing the internet and I came across a formula for the area of triangle in a coordinate plane.

With Vertices of (x1,y1) (x2,y2) (x3,y3)
Area= 1/2 [(y2-y1)(x1-x3)-(x2-x1)(y1-y3)]

There was no description with the formula. Where did it come from and why does it work?
 

Answers and Replies

  • #2
606
1
I was perusing the internet and I came across a formula for the area of triangle in a coordinate plane.

With Vertices of (x1,y1) (x2,y2) (x3,y3)
Area= 1/2 [(y2-y1)(x1-x3)-(x2-x1)(y1-y3)]

There was no description with the formula. Where did it come from and why does it work?



Look here http://en.wikipedia.org/wiki/Triangle#Using_Heron.27s_formula , under "using coordinates", the third "T" there.

DonAntonio
 

Related Threads on Where did this equation come from?

Replies
21
Views
31K
Replies
5
Views
2K
Replies
21
Views
4K
Replies
2
Views
694
Replies
2
Views
3K
  • Last Post
Replies
2
Views
1K
  • Last Post
Replies
2
Views
1K
  • Last Post
Replies
13
Views
3K
Replies
2
Views
2K
Top