Video Transcript
In a triangle π΄π΅πΆ, π is the
point of concurrency of its medians. If line segment π΄π· is a median,
then π΄π is equal to blank of ππ·.
First of all, we know that the
point of concurrency of its medians in a triangle is its centroid. If we wanted to sketch a triangle
to try and understand whatβs happening here, we would need triangle π΄π΅πΆ and then
we could sketch a centroid. We know that the point of
concurrency, the centroid, is point π and that line π΄π· is a median. The centroid theorem tells us that
the distance from the vertex to the centroid is two-thirds of the median, and the
distance from the centroid to the midpoint is one-third of the median. And we want to compare the
relationship between ππ· and π΄π. To go from ππ· to π΄π, to get
from one-third to two-thirds, we multiply by two. π΄π is twice ππ·, which means we
would find π΄π by multiplying ππ· by two.
