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Medians $\overline{dp}$ and $\overline{eq}$ of $\triangle def$ are perpendicular. if $dp= 18$ and $eq = 24$, then what is ${de}$?
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Aug 22, 2018
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Medians $\overline{dp}$ and $\overline{eq}$ of $\triangle def$ are perpendicular. if $dp= 18$ and $eq = 24$, then what is ${de}$?
Mathematics
high-school
NoSixties
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Answer:
Explanation:
Javier Cadiz
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Aug 24, 2018
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Javier Cadiz
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Denote by M the point of intersection of the medians.
Denote also the distance DM by x and the distance QM by y.
From the median properties of triangles we know that
Also,
Since the medians are perpendicular, we deduce that:
Then, since
Rouge
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Aug 25, 2018
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Rouge
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