[" The area of the triangle with "],[" vertices at "A(x_(1),y_(1)),B(x_(2),y_(2))],[" and "C(x_(3),y_(3))" is "]

The area of the triangle OAB with vertices O(0,0),A(x_(1),y_(1))B(x_(2),y_(2)) is

Write the formula for the area of the triangle having its vertices at (x_(1),y_(1)),(x_(2),y_(2)) and (x_(3),y_(3))

The centroid of the triangle with vertices at A(x_(1),y_(1)),B(x_(2),y_(2)),c(x_(3),y_(3)) is

The area of the triangle OAB with vertices O(0,0),A(x_(1),y_(1))" and B(x_(2),y_(2)) is

The co-ordinates of incentre of the triangle whose vertices are given by A(x_(1), y_(1)), B(x_(2), y_(2)), C(x_(3), y_(3)) is

The area of the Quadrilateral with vertices A(x_(1),y_(1)),B(x_(2),y_(2)),C(x_(3),y_(3)) and D(x_(4),y_(4)) is

If =|(2a,x_(1),y_(1)),(2b,x_(2),y_(2)),(2c,x_(3),y_(3))|=abc/2 ne 0 then the area area of the triangle whose vertices are (x_(1)/a,y_(1)/a),(x_(2)/b,y_(2)/b),(x_(3)/c,y_(3)/c) is:

Suppose a,b,cgt0 . If |(x_(1),y_(1),2a),(x_(2),y_(2),2b),(x_(3),y_(3),2c)|=abc , Then area of triangle whose vertices are A(x_(1)/a,(y_(1))/a),B((x_(2))/b,(y_(2))/b) and C((x_(3))/c,(y_(3))/c) is ___

Show that the coordinates off the centroid of the triangle with vertices A(x_(1),y_(1),z_(1)),B(x_(2),y_(2),z_(2)) and (x_(3),y_(3),z_(3)) are ((x_(1)+x_(2)+x_(3))/(3),(y_(1)+y_(2)+y_(3))/(3),(z_(1)+z_(2)+z_(3))/(3))

If |(2a,x_(1),y_(1)),(2b,x_(2),y_(2)),(2c,x_(3),y_(3))| = (abc)/2 != 0 , then the area of the triangle whose vertices are ((x_(1))/a,(y_(1))/a),((x_(2))/b,(y_(2))/b)and ((x_(3))/c,(y_(3))/c)