If the vertices of a triangle are `(0,0), (sqrt3, 3), (-sqrt3, 3)` then the incentre is

If the vertices of a triangle are (0,0),(sqrt(3),3),(-sqrt(3),3) then the incentre is

If the vertices of a triangle are (sqrt(5),0),(sqrt(3),sqrt(2)), and (2,1), then the orthocenter of the triangle is

If the vertices of a triangle are (sqrt5,0) and (sqrt3,sqrt2) , and (2,1) then the orthocentre of the triangle is

If the vertices of a triangle are (sqrt(5),0) ,sqrt(3),sqrt(2)), and (2,1), then the orthocentre of the triangle is (sqrt(5),0) (b) (0,0)(sqrt(5)+sqrt(3)+2,sqrt(2)+1)( d) none of these

If the vertices of a triangle are (sqrt(5,)0) , ( sqrt(3),sqrt(2)) , and (2,1) , then the orthocenter of the triangle is

If the vertices of a triangle are (sqrt(5,)0) , ( sqrt(3),sqrt(2)) , and (2,1) , then the orthocentre of the triangle is (a) (sqrt(5),0) (b) (0,0) (sqrt(5)+sqrt(3)+2,sqrt(2)+1) (d) none of these

If the vertices of a triangle are (sqrt(5,)0) , ( sqrt(3),sqrt(2)) , and (2,1) , then the orthocentre of the triangle is (sqrt(5),0) (b) (0,0) (c) (sqrt(5)+sqrt(3)+2,sqrt(2)+1) (d) none of these

Two vertices of an equilateral triangle are (0,0) and ( 3, sqrt(3) ) then the third vertex can be

The vertices of a triangle are (a, 0), (-a, 0) and (0, sqrt(3a)) . Show that the triangle is equilateral.

If the two vertices of an equilateral triangle be (0,0),(3,sqrt(3)), find the third vertex.