AM is a median of a triangle where A is one vertex and
M is the midpoint of a side of a triangle opposite vertex A. If the distance from the centroid of the triangle
to M is 5 units, how long is the median AM
I have: The centroid, is the balance point, or center of gravity, of a model of the triangle and which is two-thirds the distance from each vertex to the opposite side. so it is 15 units. I am so confused can you help
point z is the centroid of triangle ABC,CA=20,AD=12 and BE=9 what is the perimeter AZE?
I believe the correct answer is 127 units for the perimeter.
point Z is the centroid of triangle ABC,CA=20,AD=12 and BE=9 what is the perimeter of AZE?
Answer is 21
Yes, I can help you understand how to solve this problem.
To find the length of the median AM, we need to understand some properties of triangles.
First, let's define some terms. The centroid of a triangle is the point where the three medians of the triangle intersect. A median of a triangle is a line segment that connects a vertex to the midpoint of the opposing side.
Now, we are given that the distance from the centroid of the triangle to M is 5 units. This means that the distance from the centroid to any vertex is three times the distance from the centroid to M. Therefore, the distance from the centroid to any vertex is 3 * 5 = 15 units.
Now, we know that the centroid divides each median into two segments, with the ratio of 2:1. This means that the segment from the vertex to the centroid is twice as long as the segment from the centroid to the midpoint of the opposite side.
Since the median AM connects vertex A to the midpoint of the opposite side, and the distance from the centroid to A is 15 units, we can conclude that the length of the segment from the centroid to M is half of 15 units, which is 7.5 units.
Finally, since AM is a median, we can double the length of the segment from the centroid to M to find the length of AM. Therefore, the length of median AM is 2 * 7.5 = 15 units.
So, the answer is that the length of median AM is 15 units.
I hope this explanation helps you understand the solution to the problem.