Question

Show that the points A(4, 6, -5), B(0, 2, 3) and C(-4, -4, -1) from the vertices of an isosceles triangle.

Comments

Solution is wrong

Answer 1

Given points are the vertices of an isosceles triangle if measure of any two sides are equal.

Apply distance formula:

The distance between two points (x₁,y₁,z₁) and (x₂,y₂,z₂) is given by

Length AB:

From above result, we have AB = BC

Therefore, vertices A, B, C forms an isosceles triangle.

Comments

Thanks