We know a lot about triangles in Euclidean geometry. When studying Taxicab geometry a natural question arises, do these properties still hold in the Taxicab universe? [br][br]Use the applet below to play around with some triangles and conjecture whether properties that you know about Euclidean triangles still apply to Taxicab triangles. [br][br]For instance you might explore:[br][list][*]Do isosceles triangles always have two congruent angles? [/*][*]Is the sum of two sides of a triangle always greater than the third? [/*][*]Does the Pythagorean theorem still hold? [br][/*][/list]
What did you learn from your exploration?