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Let /\ABC, A(-2,5) B(3,2), C(5,-7) 1.Which the length of the median that part of that vertex C? 2.Whats is the relative height of the side AB?

Linear Algebra
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Almost every Geometry problem solution begins with a diagram.
1 Attachment
The median from vertex C is the segment drawn from C to the midpoint of the opposite side. So, you need to get the midpoints of segment AB.
@Nathalia.agui Post your coordinates for the midpoint of segment AB and I will check them.

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Other answers:

>is the answer (3/2, -1)? For the midpoint of segment AB, I got [ (3-2)2, (5-2)/2] = (1/2, 3/2). To get the midpoint of a segment when you know the endpoints of the segment, take the average of the x-coordinates of the endpoints and the average of the y-coordinates of the endpoint.
To get the length of segment CM find the distance between points C and M using the Distance Formula. The segment CM itself is the median from vertex C of the triangle to the midpoint of side AB.
The distance formula is attached. Crank out the distance using the formula and the two points C and M. Recall that C is (5, -7) and that M is (1/2, 3/2). Post what you get and we can compare answers. @Nathalia.agui
CM = (√ 370) / 2 Check that result. Part B is for you to try first. :) @Nathalia.agui

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