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andrew11 [14]
3 years ago
6

D is the centroid. Find Q D if DK =6.5.

Mathematics
1 answer:
Xelga [282]3 years ago
3 0

Answer:

QD = 13

Step-by-step explanation:

According to the Centroid theorem of a triangle, the Centroid is ⅔ of the distance from every vertex angle to the midpoint of the side opposite to each of them.

By this we can deduce that:

QD = ⅔(QD + DK)

Substitute

QD = ⅔(QD + 6.5)

Multiply both sides by 3

3*QD = 2(QD + 6.5)

3QD = 2QD + 13

Subtract both sides by 2QD

3QD - 2QD = 13

QD = 13

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