26. Prove that the points `O(0,0,0), A(2.0,0), B(1,sqrt3,0) and C(1,1/sqrt3,(2sqrt2)/sqrt3)` are the vertices of a regular tetrahedron.,

Prove that the point A (0,0,0),B(2,0,0), C(1,sqrt3,0) and D(1,1/sqrt3, (2sqrt2)/sqrt3) are the vertices of a regular tetrahedron.

26. Prove that the points O(0,0,0),A(2.0,0),B(1,sqrt(3),0) and C(1,(1)/(sqrt(3)),(2sqrt(2))/(sqrt(3))) are the vertices of a regular tetrahedron...

Consider the points A(0, 0, 0), B(2, 0, 0), C(1, sqrt(3), 0) and D(1, 1/sqrt(3), (2sqrt(2))/sqrt(3)) Statement - I : ABCD is a square. Statement - II : |AB|=|BC|=|CD|=|DA| .

Prove that the points (0,0) (3, sqrt(3)) and (3, -sqrt(3)) are the vertices of an equilateral triangle.

Prove that the tetrahedron with vertices at the points O(0,0,0),\ A(0,1,1), B(1,0,1)a n d\ C(1,1,0) is a regular one.

Prove that the tetrahedron with vertices at the points O(0,0,0),A(0,1,1),B(1,0,1) and C(1,1,0) is a regular one.

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

Let A(-1, 0), B(0, 0) and C(3, 3sqrt(3)) be three points. Then the bisector of angle ABC is :