Question

True or False; In spherical geometry, there is only one equilateral triangle.

Answer 1

False. In spherical geometry you can create equilateral triangles with many different angle measures. Take for instance two longitudes that meet at 90 and intersect them with the equator. This gives ride to a 90-90-90 equilateral triangle! If you shrink this triangle just a little bit, you can make an 80-80-80 triangle. Your Welcome (:

Answer 2

In spherical geometry there is only one equilateral triangle. False