Matemática, perguntado por jubilwujabiraca, 3 meses atrás

me ajudem pfvr:((((

Anexos:

Soluções para a tarefa

Respondido por limadeoliveiraanacla
0

Letra "E" é a mais provável.

Respondido por auditsys
4

Resposta:

\textsf{letra D}

Explicação passo a passo:

\mathsf{(\overline{\rm BD})^2 = (\overline{\rm BC})^2 + (\overline{\rm CD})^2}

\mathsf{(\overline{\rm CD})^2 = (\overline{\rm BD})^2 - (\overline{\rm BC})^2}

\mathsf{(\overline{\rm CD})^2 = (17)^2 - (8)^2}

\mathsf{(\overline{\rm CD})^2 = 289 - 64}

\mathsf{(\overline{\rm CD})^2 = 225}

\mathsf{\overline{\rm CD} = 15\:m}

\mathsf{S_{ABCD} = \dfrac{(B + b)h}{2}}

\mathsf{S_{ABCD} = \dfrac{(30 + 15)8}{2}}

\mathsf{S_{ABCD} = (45)4}

\boxed{\boxed{\mathsf{S_{ABCD} = 180\:m^2}}}

\mathsf{S_{BCD} = \dfrac{b \times h}{2}}

\mathsf{S_{BCD} = \dfrac{15 \times 8}{2}}

\mathsf{S_{BCD} = (15)4}

\boxed{\boxed{\mathsf{S_{BCD} = 60\:m^2}}}

\mathsf{S_{ACD} = S_{ABCD} - S_{ABC}}

\mathsf{S_{ABC} = \dfrac{b \times h}{2}}

\mathsf{S_{ABC} = \dfrac{30 \times 8}{2}}

\mathsf{S_{ABC} = (30)4}

\mathsf{S_{ABC} = 120\:m^2}

\mathsf{S_{ACD} = 180 - 120}

\boxed{\boxed{\mathsf{S_{ACD} = 60\:m^2}}}

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