Copie De Copie De Sami-ams
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1.
ABC
Question
quilatral ⇐⇒ a2 + b2 + c2 = ab + bc + ac 2.
Réponse
On considère le triangle ABC tel que ABC est équilatéral,alors nou avons :
BA BC ~ BA) ~ ≡ (AB; ~ AC) ~ (BC; ∧ = BC AC b−c a−b = ⇐⇒ c−b a−c ⇐⇒ (a − b)(a − c) = (b − c)(c − b) ⇐⇒ a2 + b2 + c2 = ac + ab + bc E-mail address :
[email protected]
1
ABC
Question
quilatral ⇐⇒ a2 + b2 + c2 = ab + bc + ac 2.
Réponse
On considère le triangle ABC tel que ABC est équilatéral,alors nou avons :
BA BC ~ BA) ~ ≡ (AB; ~ AC) ~ (BC; ∧ = BC AC b−c a−b = ⇐⇒ c−b a−c ⇐⇒ (a − b)(a − c) = (b − c)(c − b) ⇐⇒ a2 + b2 + c2 = ac + ab + bc E-mail address :
[email protected]
1
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