Math / Geometry

QuestionLas medianas del $\triangle D E F$ son $\overline{D K}, \overline{E L}$ y $\overline{F J}$ . Se encuentran en un punto único $M$ . (En otras palabras, $M$ es el baricentro del $\triangle D E F$ ). Suponer que $M L=9, M J=8$ y $D K=24$ . Hallar las longitudes siguientes. Observar que la figura no está trazada a escala. $\begin{array}{c} F J= \\ D M= \\ E M= \end{array}$

Studdy Solution
For $\overline{EL}$ , given $ML = 9$ , the entire median $EL$ is:
$EL = 3 \times ML$ $EL = 3 \times 9 = 27$
Since $EM$ is twice $ML$ :
$EM = 2 \times ML$ $EM = 2 \times 9 = 18$
The lengths are: $FJ = 24$ $DM = 16$ $EM = 18$

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