Find the area of a triangle formed by the points A(5,2), B(4,7) and C(7,-4).

Name the type of triangle formed by the points A(-5, 6), B(-4, -2) and C(7,5).

Find the area of the triangle formed by the points P(-1.5, 3), Q(6,-2) and R(-3, 4).

Statement I : The area of the triangle formed by the points A(100, 102), B(102, 105), C(104, 107) is same as the area formed by A'(0, 0), B' (2, 3), C'(4, 5). Statement II : The area of the triangle is constant with respect to translation.

Find the area of the triangle with vertices A(3,-1,2),B(1,-1,-3) and C(4,-3,1) .

Find the area of the triangle with vertices A(1, 1, 2), B(2, 3, 5) and C(1, 5, 5).

Find the area of the triangle formed by the midpoint of the sides of the triangle with vertices (2,1), (-2, 3) and (4,-3).

Find the ratio in which the YZ-plane divides the line segment formed by joining the points (-2, 4, 7) and (3, -5, 8).

Find the coordinates of the point Q on the x-axis which lies on the perpendicular bisector of A(-5, -2) and B(4,-2) . Name the type of triangle formed by the points Q, A and B.

Find the orthocentre of the triangle formed by the lines 4x-7y+10=0,x+y=5 and 7x+4y=15 .