If the points A, B, C are collinear, then
a) area of triangle ABC = 0
b) AB2^ = AC2^ + BC2^
c) slope of AB = slope of BC
d) AB + BC = AC
Answers
Answer: (a),(c),(d) are the correct options.
Step-by-step explanation:
(a) If three points are collinear, then they lie on the same line. The vertices of the triangle lie on the same line and hence, the area of triangleABC = 0 sq.units. This option is correct.
(b) This option is true only for a right angled triangle, by converse Pythogoras theorem. Since the points do not form a 2D triangle, it can never be right angled and hence this option is wrong.
(c) If A,B,C are collinear, then line AB and line BC are the same when extended to infinity in both directions. Hence, slope of AB= slope of BC and this option is correct.
(d) If points A,B,C are collinear and B lies between A and C, then AB+B+=AC. Hence, this option is correct if B lies between A and C.
Hope this will help you!
Answer:
ans a,c,d
Thank you ........