Can we have a triangular pyramid in which two lateral faces are perpendicular, and also these lateral faces (triangles) are equilateral? If not, why not?
Can we have a triangular pyramid in which two lateral faces are perpendicular, and also these lateral faces (triangles) are equilateral? If not, why not?
Last edited by pynam; 03-09-2018 at 04:24 AM.
Imagine taking two equilateral triangles and gluing then together at right angles. Can you complete this to make a pyramid?
You may have to tell me how you are defining "pyramid", because the word is sometimes used in a restricted way (e.g. right regular pyramid) rather than its most general sense.
I'm referring to any triangular pyramid, it does not have to be regular pyramid.
Why can't I 'glue' two triangles at right angles, and third triangle (not the base) will have bigger sides to make a pyramid.
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