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If the points A, B, C is collinear then the area of the triangle will be zero.(a) True(b) FalseI got this question in class test.The above asked question is from Geometry topic in section Coordinate Geometry of Mathematics – Class 10

Answer»

Right choice is (b) False

The best I can explain: We know that, area of TRIANGLE = \(\frac {1}{2}\){X1 (y2 – y3 ) + x2 (y3 – Y1 ) + x3 (y1 – y2 )}

LET us assume the vertices of the triangle are (0, 0), (0, 4) and (0, 9).

The area of triangle = \(\frac {1}{2}\) {0(4 – 9) + 0(9 – 0) + 0(0 – 4) } = \(\frac {1}{2}\){0} = 0 units

Hence, the area of triangle will be zero if the points are collinear.



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