Three points R, S, and T are placed in a unit grid (where each square represents unit leng...

Three points R, S, and T are placed in a unit grid (where each square represents unit length).

(a) Show that ∆RST is equilateral under the taxicab metric.

(b) Is ∆RST equiangular under the taxicab metric?

(c) Is ∆RST equilateral under the Euclidean metric? Isosceles?