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

A tirangle hs vertices (1,2,4 ), (-2,2,1) and (2,4,-3) . Prove that the triangle is right angled triangle

Find the lengths of the sides of the triangle whose vertices are A(2,4,-1),(4,5,1),C(3,6,-3) and show that the triangle is right angled.

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.

Prove that points (2,-1,1),(1,-3,-5) and (3,-4,-4) are the vertices of a righat angled triangle.

Prove that the triangle whose vertices are (-2, 2) (1, -2) and (9, 4) is a right 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.

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.

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.

The points A(3,0) , B (a, -2) and C(4, -1) are the vertices of triangle ABC right angled at vertex A. Find the value of a.