A triangle in the coordinate plane has vertices A(0, 0), B(2, 0), and C( 1, ). This trian...

A triangle in the coordinate plane has vertices A(0, 0), B(2, 0), and C( 1, ). This triangle is equilateral under the Euclidean metric. For the Taxicab Metric, find

(a) the lengths of the sides of ∆ABC.

(b) the angle measures.

(c) Based on these calculations, is ∆ABC equilateral in taxicab geometry? Equiangular? Isosceles?