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Centroid

For the given...

Question

For the given triangle ABC, G is the centroid and BC = 10 units. Determine the length of BD.

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Solution

For triangle ABC, AD, CE, and BF are the medians of triangle ABC.
Hence, D is the midpoint of BC as AD is the median.
Given, BC = 10 units
Therefore, BD = $\frac{B C}{2}$ = $\frac{10}{2}$ units.
Hence, BD = 5 units

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