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In triangle ABC, segment BQ is a median of the triangle and point M is the centroid. If BM = 9x and MQ is 5x − 1, what are the values of x and BQ?
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In triangle ABC, segment BQ is a median of the triangle and point M is the centroid. If BM = 9x and MQ is 5x − 1, what are the values of x and BQ?

User Meduvigo
by
7.9k points

1 Answer

2 votes
MQ = 1/3 * BQ because M is the centroid. so

BM = 2MQ

9x = 2(5x - 1)
2 = 10x - 9x

x = 2

and BQ = 9(2) + 5(2) - 1 = 27.

x is 2 and BQ = 27
User Eigenchris
by
8.2k points
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