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Home » An equilateral triangle with perimeter 36 cm has side length: - Get link 4share

An equilateral triangle with perimeter 36 cm has side length: - Get link 4share

📅 March 9, 2026 👤 scraface

Mar 09, 2026

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Soit la largeur \(w\). Alors la longueur est \(2w\).
Périmètre = \(2(w + 2w) = 6w = 36\).
En résolvant, \(w = 6\), donc la longueur est \(2 \times 6 = 12\).
Aire = \(w \times \text{longueur} = 6 \times 12 = 72\).
Résolvez pour \(x\) dans l’équation \(\log_2(x+3) + \log_2(x-1) = 3\).
Utilisez la propriété \(\log_b(m) + \log_b(n) = \log_b(mn)\) :
\log_2((x+3)(x-1)) = 3 \implies (x+3)(x-1) = 2^3 = 8
Développez et résolvez : \(x^2 + 2x - 3 = 8 \implies x^2 + 2x - 11 = 0...
Utilisez la formule quadratique : \(x = \frac{-b \pm \sqrt{b^2 - 4ac}}...
Puisque \(x > 1\) (pour que les logarithmes soient définis), \(x = -1...

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