Given the triangular pyramid ABCD, where angles ABC, ACD, and BCD are right angles If you know the angles BAC and DAC, and the length of the edge AD,
Can you determine the lengths of edges AC, BC, and CD? And if so, how?
2026-03-31 11:23:51.1774956231
Finding lengths of triangular pyramid sides
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If we know $\angle DAC$ and the length of $AD$, then it's elementary trigonometry to find $AC$ and $CD$.
And now that we know $CD$ and $\angle BAC$, it's elementary trigonometry to find $AB$ and $BC$.
Finally, you can use the Pythagorean theorem to find $BD$.