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The area of a triangle from its three vertices can be found using:

AMatrices
BSequences
CVectors
DLogarithms
Answer & Solution
Correct answer: C. Vectors
1. Two sides of the triangle become vectors from one vertex. 2. Half the magnitude of their cross product gives the area. 3. So the area is found using vectors. _Source: NCERT Class 12 Mathematics Part II, Chapter 10, Vector Algebra._
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