Answer to Question #136352 in Trigonometry for pukoy

Question

What should be the third side and included angle of a spherical triangle if the two sides measure 90°each?

Answer 1

The other angle is 90 degree

(Equilateral spherical triangle)

The triangle would start at the north pole. Travel straight south to the equator. Then make a 90-degree turn and travel along the equator 1/4 of the way around the world. Then turn back north and close the triangle.

The other angle is 90 degree.

Since if two sides of spherical triangle are equal, the angles opposite to them are also equal to each other.