Triangle ABC has 3 medians drawn creating centroid D. If a centroid creates a 2:1 ratio and one median is 24 inches, what is the larger piece?​
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Respuesta :

Answer: The larger piece is 16 inches

Step-by-step explanation: Median of a triangle is a line segment uniting a vertex and the midpoint of the opposite side. A triangle has 3 medians and the point where these 3 intersect is called centroid.

The ratio of one median is 2:1, which means the line segment is divides by the centroid into two parts, one the double of the other. So:

2x + x = 24

3x = 24

x = 8

Then, the larger piece is

2x = 2(8) = 16

The larger part of the median measuring 24 inches is 16 inches