Mathematics
If A(5, -1), B(-3, -2) and C(-1, 8) are the vertices of a triangle ABC, find the length of the median through A and the coordinates of the centroid of triangle ABC.
Related Questions
Determine the ratio in which the line 2x + y - 4 = 0 divide the line segment joining the points A(2, -2) and B(3, 7). Also find the coordinates of the point of the division.
ABCD is a parallelogram. If the coordinates of A, B and D are (10, -6), (2, -6) and (4, -2) respectively, find the coordinates of C.
ABCD is a parallelogram whose vertices A and B have coordinates (2, -3) and (-1, -1) respectively. If the diagonals of the parallelogram meet at the point M(1, -4), find the coordinates of C and D. Hence, find the perimeter of the parallelogram.
Given O (0, 0), P(1, 2), S(-3, 0). P divides OQ in the ratio 2 : 3 and OPRS is a parallelogram.
Find :
(i) the coordinates of Q.
(ii) the coordinates of R.
(iii) the ratio in which RQ is divided by the x-axis.