Question
The area of a triangle having vertices (a, b+ c), (b, c + a) and (c, a + b) is ___.
Answer: Option A
:
A
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A
Area of a triangle with vertices (x1,y1),(x2,y2) and (x3,y3) is given by
Area=12×|(x1)(y2−y3)+(x2)(y3−y1)+(x3)(y1−y2)|
Thus, Area of the given triangle
=12|a(c+a−a−b)+b(a+b−b−c)+c(b+c−c−a)|
=12|ac−ab+ab−bc+bc−ac|=0
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