Prove that the points and are the vertices of a right-angled triangle.

Question

Philoid · Accepted Answer

In a right angle triangle

Where CA is the hypotenuse

BC is the perpendicular and AB is the base

Vertices of the triangle are given below

A = (1, -1, 0), B = (4, -3, 1), C = (2, -4, 5)

So,

………..(1)

Similarly,

…………(2)

…………..(3)

35 = 14 + 21

35 = 35

LHS = RHS

So, these point form a right angle triangle