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FAQ:
Q: Are 5e squares affected by templates?
A: UNLESS the template is a sphere, in which case squares covered 50% or more by the template are affected. And the Token Method, where you basically get what Matt Colville meant when he called 5e “non-euclidian”: 5″ squares are 5″ in all directions.
Q: What is the end of the area of the effect?
A: The end of the area of effect would be a flat plane. This shape would motivate players to do off-centre aiming in order to get full use of the maximum-length edges of the template. You can use the maximum length as a radius of a conical section of a sphere (a spherical cone ).
Q: Can you apply AOEs on the battle map in 5e?
A: For D&D 5e, these are not correct. First off, cones always have a front width the same as the cone length, and the front of a cone is always flat, not curved. Xanathar’s Guide outlines two ways you can apply AOEs on the battlemap.
Q: What would be the best shape for an area of effect?
A: The end of the area of effect would be a flat plane. This shape would encourage players to aim off-centre to use the “bonus” length offered by the edges. You can use the maximum length as the edges of an isosceles triangle. This would give a template with no portion farther than the maximum away, but with a centreline length that is only ~27.8′.