Before the solution, it is necessary to make four triangles of the ABC triangle.
Point M is the middle of side AB of triangle ABC (since AM = MB), and point P is the middle of side BC (since BP = CP). This means that MP is the middle line of the ABC triangle, parallel to the AC side.
This means that the middle line МР is equal to half of the base of АС, МР = 14: 2 = 7 cm.
Answer: MR is 7 cm.
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