Are the points `A(3,6,9), B(10,20,30) `and `C(25,-41,5)` the vertices of a right angled triangle?

Show that the point A(0,1,2), B(2,-1,3) and C(1,-3,1) are vertices of an isosceles right angled triangle.

Verify the following: (0,7,10) , (-1,6,6) and (-4,9,6) are the vertices of a right angled triangle.

Without using the pythagoras theorem show that the points (4,4),(3,5) and (-1, -1) are the vertices of a right angled triangle.

Without using the pythagoras theorem, show that the points (4,4),(3,5) and (-1, -1) are the vertices of a right angled triangle

Verify the following: (0,7,-10) , (1,6,-6) and (4,9,-6) are the vertices of an isosceles triangle.

Let A (0,7,10), B (-1,6,6,) and C (-4,9,6) are the vertices of a triangle. Find the coordinate of the centre of the circle passing through the point A,B,C.

Let A (0,7,10), B (-1,6,6,) and C (-4,9,6) are the vertices of a triangle.Show that it is a right angle triangle.

Consider a plane passing through the points A(-2, 6, -6), B(-3, 10, -9) and C(-5, 0, -6) Find the equation of the plane

(b)Show that the points A(10,7,0),B(6,6,-1)C(6,9,-4) form a right angled isosceles triangle.

The pointsA(0,0), B(10,0),C (5,5sqrt3) are the vertices of the triangle ABC.Find AB,BC,AC and prove that the triangle is equilateral.