The equation of one arm of a equilateral triangle is x + y = 2 and the co-ordinate of the vertex opposite to this arm is (2, -1). Find the length of one arm of this triangle.

If the equation of the side BC of an equilateral triangle ABC is x+y=2 and the coordinate of the vertex A is (2,3) then find the equation of the other two sides.

The equation of the hypotenuse of a right angled isosceles triangle is 3x+4y=4 and the coordinates of the opposite vertex are (2,2) . Find the equations of its other sides.

The equation of the hypotenuse of an isosceles right angled triangle is x+y+1=0 and the coordinates of its opposite vertex are (2,3) . Find the equations of the other two sides of the triangle.

The equation of an altitude of an equilateral triangle is sqrt3x + y = 2sqrt3 and one of its vertices is (3,sqrt3) then the possible number of triangles is

The equation of an altitude of an equilateral triangle is sqrt3x + y = 2sqrt3 and one of its vertices is (3,sqrt3) then the possible number of triangles is

The equation of circum circle of an equilateral triangle is x^2+y^2+2gx+2fy+c=0 .Find the area of the triangle.

The equation of the circumcircle of an equilateral triangle is x^2+y^2+2gx+2fy+c=0 and one vertex of the triangle in (1, 1). The equation of the incircle of the triangle is a. 4(x^2+y^2)=g^2+f^2 b. 4(x^2+y^2)+8gx+8fy=(1-g)(1+3g)+(1-f)(1+3f) c. 4(x^2+y^2)+8gx+8fy=g^2+f^2 d. None of These

The coordinates of one of the vertices of a triangle is (2,0) and the coordinates of the mid-points of its opposite side is (5,3) . Find the length of the median.

The equation to the base of an equilateral triangle is x+y=2and its vertex is at (2,-1) . Find the length of a side of the triangle.

If the equation of the base of an equilateral triangle is 2x - y=1 and the vertex is (-1,2), then the length of a side of the triangle is-