Question

Prove that the triangle formed by joining the points (2,3,-1),(4,5,0),(2,6,2) is an isosceles triangle.

Answer 1

distance between (2, 3,-1) & (4, 5, 0) =
square root of (4-2)^2 + (5-3)^2 + (0+1)^ 2
equal to square root of 4+4+1
equal to 3

now distance between (4, 5, 0) & (2, 6, 2)
=square root of (2-4)^2 + (6-5)^2 + (2-0)^ 2
=square root of 4+1+4
=3

the two sides of triangle are equal so the given triangle is an isosceles triangle....

Answer 2

Hope it will help you .