MHB Unique Area of Triangle Formula

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The discussion centers on the unique area of a triangle formula, which is confirmed to be correct. The proof relies on linear algebra concepts, specifically determinants. Participants express admiration for the formula's utility and elegance. There is a mention of varying levels of understanding among contributors regarding linear algebra. Overall, the conversation highlights the formula's significance and the mathematical concepts involved in its proof.
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I think the following formula is so cool.

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Yes, it is correct. The proof involves some linear algebra, and, in particular, determinants. What is your background in that topic ?
 
castor28 said:
Yes, it is correct. The proof involves some linear algebra, and, in particular, determinants. What is your background in that topic ?

My math background is not deep enough to understand linear algebra, much less proof at that level. This formula is so useful and cool.
 

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