Answer:
(3.5, 3.25)
Explanation:
Given the vertices of a triangle MNP as M(5,6) , N(0,3) , and P(4,-2).
Midpoint of MP is expressed as;
M(5,6) and P(4,-2).
Xmp = (5+4)/2
Xmp = 9/2
Xmp = 4.5
Ymp = (6-2)/2
Ymp = 4/2
Ymp = 2
Hence the midpoint of MP is at (4.5, 2)
Similarly for MN
M(5,6) , N(0,3)
Xmn = 5+0/2
Xmn = 5/2
Xmn = 2.5
Ymn = 6+3/2
Ymn = 9/2
Ymn = 4.5
Hence the midpoint of MN is (2.5, 4.5)
The coordinate of the midpoint of the line connecting the midpoints of sides MN and MP will be expressed as;
MN(2.5, 4.5) and MP (4.5, 2)
M = {(2.5+4.5/2, 4.5+2/2)}
M = (7/2, 6.5/2)
M = (3.5, 3.25)
Hence the required midpoint coordinate is (3.5, 3.25)