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How many of triangles whose vertices are chosen from the vertices of a cube are equilateral?

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Joydoot ghatak ·2011-03-17 23:54:20

are there any such equilateral triangles??
i m not getting one... :(

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Vinay Arya ·2011-03-18 00:20:20

Please write here proof so that I can understand something.I will be able to know that the question is wrong.

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ninepointcircle ·2011-03-18 01:57:14

the question is perfectly correct and the answer is 8

see here are the triangles BCG, ADH , ECG , FHD , DAF , BCE , AHF , EGB , FDA with each equal as they are diagnols of square with equal sides .
Advice : pls have a 3D cube with you if u are not able to visualise it
:)

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Joydoot ghatak ·2011-03-18 02:06:13

i got it where i was going wrong :)
thanx..

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Vinay Arya ·2011-03-18 03:45:26

Thank you.The question was quite easy.

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Basic Integral Calculus Operators Symbols Matrix Cases

√ √ || {} [] () → ~ ^ x x x → → ln log lg lim lim cos sin tan cot arcsin arccos arctan

∫ ∫ ∫ ∫ ∫ ∬ ∬ ∬ ∬ ∬ ∭ ∭ ∭ ∭ ∭ ⨌ ⨌ ⨌ ⨌ ⨌

∑ ∑ ∑ ∑ ∑ ∮ ∮ ∮ ∮ ∮ ∏ ∏ ∏ ∏ ∏ ∐ ∐ ∐ ∐ ∐

+ - × ÷ ± ∓ = ∪ ∩ ≠ ∼ ≈ ∅ ∀ ∃ ∈ ∋ ∝ ≤ ≥ ≃ ≅ ≡ < > ≪ ≫ ⊂ ∉ ⊃ ⊆ ⊇ ⇒ ⇐ ⇔ ⇒ ⇐ ⇔ ⇑ ⇓ ⇕ → ← ↔ → ← ↔ ↑ ↓ ↕ ↖ ↗ ↘ ↙ ↪ ↩ ⇀ ↼ ⇁ ↽

° ∂ ∞ α β γ δ θ λ μ ν ξ π ρ σ φ ω ε ƒ κ τ υ Γ Δ Λ Σ Π Ω

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N.T.

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