Question

determine o valor de X na figura a seguir​

Answer 1

$\boxed{\begin{array}{l}\sf vamos~chamar~de~y~o~segmento~BD. \\\sf por~Pit\acute agoras~temos:\\\sf y^2=5^2+(2\sqrt{6})^2\\\sf y^2=25+24\\\sf y^2=49\\\sf Usando~Pit\acute agoras~no~\triangle BDC~temos:\\\sf x^2=(4\sqrt{2})^2+y^2\\\sf x^2=32+49\\\sf x^2=81\\\sf x=\sqrt{81}\\\sf x=9\end{array}}$