Where did this equation come from?

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In summary, the conversation discusses a formula for finding the area of a triangle in a coordinate plane, with vertices (x1,y1), (x2,y2), and (x3,y3). The formula is Area= 1/2 [(y2-y1)(x1-x3)-(x2-x1)(y1-y3)], and there was a discussion about where the formula originated and why it works. It was suggested to refer to a Wikipedia page for more information.
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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?
 
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your said:
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
 

1. What is the origin of this equation?

The origin of an equation can be traced back to the person or group of people who first discovered or developed it. This can vary depending on the specific equation, as some have been around for centuries while others are relatively new.

2. How was this equation derived?

Equations can be derived through various mathematical processes, such as algebra, calculus, or statistical analysis. The specific method used to derive an equation will depend on its purpose and the problem it is solving.

3. Are there any assumptions or limitations to this equation?

Many equations have certain assumptions or limitations that must be considered when using them. These can include assumptions about the variables involved, the conditions under which the equation is applicable, or the accuracy of the results.

4. Can this equation be applied to different scenarios?

Some equations are specific to certain situations or phenomena, while others can be applied to a wide range of scenarios. It is important to understand the context and limitations of an equation before applying it to a new problem.

5. How has this equation been used in real-world applications?

Equations are often developed to help solve real-world problems in various fields, such as physics, engineering, economics, and more. By understanding the history and applications of an equation, we can gain a deeper understanding of its significance and impact in the scientific community.

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