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Em casa 04) A área do quadrado ABCD mede 1u.a. ... MN seja paralela à BD - Discípulos da matemática
Em casa 04) A área do quadrado ABCD a seguir mede 1u.a. Nos lados BC e DC, tomam-se, respectivamente, os pontos M e N de modo que a reta MN seja paralela à reta suporte da diagonal BD. Sabe-se que MC=√3/3u.c.
a. Justifique a afirmação: ∆CBD~∆CMN.
b. Calcule a razão entre as medidas dos segmentos BD e MN.
c. Calcule a área dos seguintes polígonos:
• triângulo ABD;
• triângulo CMN;
• trapézio BDNM.
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