Perimeter of triangle M N C 66 cm, side NC = 16 cm, side MC = 15 cm less than side NC, find side MN.

Let’s find the length of the side of the MC. Since it is 15 cm smaller than NC, subtract 15 from the NC side:

16 – 15 = 1 (cm).

The perimeter is the sum of the lengths of all sides. Hence, to find the remaining side, it is necessary to subtract the lengths of the known sides from the perimeter:

66 – 16 – 1 = 49 (cm).

It should be noted that in a triangle, the sum of the lengths of the two sides is always greater than the third. In this case 49> 1 + 16. Hence we can conclude that the triangle MNC does not exist.