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7/23/2019 Demostracion Raiz Descartes
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A
BC D
E
180◦
C
E
A
180◦ = 90◦ +∠CEA+∠ECA
⇒ 90◦ = ∠CEA+∠ECA
E
BC
180◦ = 90◦ + ∠ECB + ∠E
⇒ 90◦ = ∠ECB + ∠EB
∠CEB = 90
90◦ = ∠CEA + ∠ECA
90◦ = ∠ECB + ∠EBC
∠CEA + ∠ECA = ∠ECB + ∠EBC
∠CEA +
∠ECA =
∠ECA + ∠EBC ∠ECB = ∠ECA
∠CEA = ∠EBA ∠EBC = ∠EBA) (∗)
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