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https://math.answers.com/math-and-arithmetic/Can_a_right_triangle_be_an_equiangular_triangle

Can a right triangle be an equiangular triangle? - Answers

No - in Euclidean (flat) space. But since the question does not specify the nature of the space, the answer may be yes. In spherical space. Go to the north pole and draw a path from there, along the surface, to the equator. Turn left (to the east), i.e. 90 degrees, and travel the exact same distance along the equator. Turn left again by another 90 degrees (you're now facing north) and travel the exact same distance yet again. You're back at the north pole and have traced a right-equiangular triangle with three right angles.



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Can a right triangle be an equiangular triangle? - Answers

https://math.answers.com/math-and-arithmetic/Can_a_right_triangle_be_an_equiangular_triangle

No - in Euclidean (flat) space. But since the question does not specify the nature of the space, the answer may be yes. In spherical space. Go to the north pole and draw a path from there, along the surface, to the equator. Turn left (to the east), i.e. 90 degrees, and travel the exact same distance along the equator. Turn left again by another 90 degrees (you're now facing north) and travel the exact same distance yet again. You're back at the north pole and have traced a right-equiangular triangle with three right angles.



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https://math.answers.com/math-and-arithmetic/Can_a_right_triangle_be_an_equiangular_triangle

Can a right triangle be an equiangular triangle? - Answers

No - in Euclidean (flat) space. But since the question does not specify the nature of the space, the answer may be yes. In spherical space. Go to the north pole and draw a path from there, along the surface, to the equator. Turn left (to the east), i.e. 90 degrees, and travel the exact same distance along the equator. Turn left again by another 90 degrees (you're now facing north) and travel the exact same distance yet again. You're back at the north pole and have traced a right-equiangular triangle with three right angles.

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      No - in Euclidean (flat) space. But since the question does not specify the nature of the space, the answer may be yes. In spherical space. Go to the north pole and draw a path from there, along the surface, to the equator. Turn left (to the east), i.e. 90 degrees, and travel the exact same distance along the equator. Turn left again by another 90 degrees (you're now facing north) and travel the exact same distance yet again. You're back at the north pole and have traced a right-equiangular triangle with three right angles.

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