SOLUTION: Given ΔABC, midpoints M and N, MN = 5x - 6 and CB = 48, find x.

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Question 1018465: Given ΔABC, midpoints M and N, MN = 5x - 6 and CB = 48, find x.
Answer by ikleyn(52754) About Me  (Show Source):
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Given ΔABC, midpoints M and N, MN = 5x - 6 and CB = 48, find x.
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The straight segment connecting midpoints of the two sides of a triangle is of half of the length of the third side of the triangle.

See the lesson The line segment joining the midpoints of two sides of a triangle in this site.

Therefore, solve the equation

5x - 6 = 24,

and you will have the answer: x = 6 units.