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if in a equilateral triangle three coins of equal radius are placed without overlaping then what is the radius of each coin

#Mathematics #Class VII-X Mathematics

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Soumyajit Chowdhury ·2011-01-18 04:06:45

let the each of the side the triangle be k and the radius be r.
then r=k/2(âˆš3+1)
pls tell me if i am wrong
isn't maths interesting.

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rahul ·2011-01-18 05:50:07

Ya... i agree...maths is truly interesting....!!

But please explain how you worked it out....!! :P

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Soumyajit Chowdhury ·2011-01-20 03:55:32

each of the coins will touch 2 sides of the triangle. join the center of the coin with it's nearest vertex and apply trigonometry.
don't underestimate urself

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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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help me out...!!

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