Given: Points are A(3, 6, 9), B(10, 20, 30) and C(25, -41, 5)
To check: the triangle formed by given points is a right-angled triangle or not A right-angled triangle is a triangle which satisfies Pythagoras Theorem
Formula used: The distance between any two points (a, b, c) and (m, n, o) is given by,
\(\sqrt{(a−m)^2+(b−n)^2+(c−0)^2}\)
Therefore,
The distance between A(3, 6, 9) and B(10, 20, 30) is AB,
Distance between A(3, 6, 9) and C(25, -41, 5) is AC,
Thus, Δ ABC is not a right angled triangle