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Category: Geometry

Question-62363

Question Number 62363 by Tawa1 last updated on 20/Jun/19 Answered by MJS last updated on 20/Jun/19 $$\mathrm{big}\:\mathrm{circle}\:\left(\mathrm{let}\:{R}=\mathrm{1}\right) \\ $$$${x}=\pm\sqrt{\mathrm{1}−{y}^{\mathrm{2}} } \\ $$$$\mathrm{lines}\:\mathrm{of}\:\mathrm{tbe}\:\mathrm{triangle} \\ $$$${x}=\pm\frac{\sqrt{\mathrm{3}}}{\mathrm{3}}{y} \\…

A-cube-of-unit-edge-length-is-held-before-a-plane-Prove-that-the-sum-of-the-squares-of-the-projected-lengths-of-edges-of-the-cube-on-the-plane-irrespective-of-the-orientation-of-the-cube-is-8-

Question Number 62121 by ajfour last updated on 16/Jun/19 $${A}\:{cube}\:{of}\:{unit}\:{edge}\:{length}\: \\ $$$${is}\:{held}\:{before}\:{a}\:{plane}.\:{Prove}\:{that} \\ $$$${the}\:{sum}\:{of}\:{the}\:{squares}\:{of}\:{the} \\ $$$${projected}\:{lengths}\:{of}\:{edges}\:{of}\:{the}\:{cube} \\ $$$${on}\:{the}\:{plane}\:\left({irrespective}\:{of}\right. \\ $$$$\left.{the}\:{orientation}\:{of}\:{the}\:{cube}\right)\:{is}\:\mathrm{8}. \\ $$ Answered by mr…

Question-62094

Question Number 62094 by Tawa1 last updated on 15/Jun/19 Commented by mr W last updated on 15/Jun/19 $${too}\:{less}\:{information}\:{to}\:{determine}\:\angle{C}! \\ $$$${with}\:{given}\:{conditions}\:{point}\:{C}\:{could} \\ $$$${be}\:{at}\:{any}\:{position}\:{on}\:{line}\:{AB}. \\ $$ Commented…