A tirangle hs vertices `(1,2,4`),`(-2,2,1) `and `(2,4,-3)`. Prove that the triangle is righat angled and find other angles

area of the triangle with vertices A(3,4,-1), B(2,2,1) and C(3,4,-3) is :

The area of the triangle with vertices A(3,4,-1),B(2,2,1) and C(3,4,-3) is :

Three vertices of a triangle are A(0, -1, -2), B(3, 1, 4) and C(5, 7, 1) . Show that it is a right-angled triangle. Also find its other two angles.

Is the triangle, whose vertices are (5, -6), (1, 2) and (-7, -2) , a right-angled triangle, an acute-angled triangle or an obtuse-angled triangle?

Prove that the points (2,-1), (0,2), (2,3) and (4,0) are the coordinates other vertices of a parallelogram and find the angle between its diagonals.

Draw the triangle whose vertices are (2, 3), (-4, 2) AND (3, -1)

Prove that the points (2,-2), (-2, 1) and (5, 2) are the vertices of a right angled triangle. Also find the area of this triangle.

Show that the triangle with vertices (3, 0), (-1, -1) and (2, 4) is isosceles and right angled.

Using vector method, show that the points A(1,-1,0), B(4,-3,1) and C(2,-4,5) are the vertices of a right -angled triangle.

Prove that a triangle is right angled if (1-(r_(1))/(r_(2)))(1-(r_(1))/(r_(3))) = 2