5. In the triangle ABC, M is the midpoint of [AB] and N is the midpoint of [CM]. Find the coordinates of N. Given that A(-1,3), B(7.-3

Question

5. In the triangle ABC, M is the midpoint of [AB] and N is the midpoint of [CM].
Find the coordinates of N. Given that A(-1,3), B(7.-3) and C(1,6).

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Doris 5 months 2021-08-27T12:19:11+00:00 1 Answers 13 views 0

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    2021-08-27T12:21:07+00:00

    Answer:

    The coordinates of the point N is (2,3)

    Step-by-step explanation:

    For us to find the midpoint between two points

    We use the midpoint formula which is;

    (x,y) = (x1 + x2)/2, (y1 + y2)/2

    We start by finding the midpoint of AB to get the coordinates of the point M

    A(-1,3) and B(7,-3)

    (x,y) = (-1 + 7)/2, (3-3)/2 = (6/2,0/2) = (3,0)

    Now that we have the coordinate of M, we can find the midpoint of CM to get the coordinates of N

    C(1,6) and M (3,0)

    (x,y) = (1 + 3)/2, (6+0)/2 = (4/2, 6/2) = (2,3)

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