Geometry and TrigonometryVery hardDistance from a vertex to the centroid
Geometry and Trigonometry practice question
A median of a triangle has length 12. How far is the triangle's centroid from the vertex at which that median starts?
Answer: 8
The centroid divides each median in the ratio 2 to 1 from the vertex, so it is (2/3)(12) = 8 from the vertex.
Common wrong answers
- If you answered 4
- 4 is the distance from the centroid to the midpoint of the side.
- If you answered 6
- 6 halves the median.
- If you answered 12
- 12 is the whole median.
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