The intersection point o of the diagonal of the parallelogram MNKC. Find the Perimeter of Triangle

The intersection point o of the diagonal of the parallelogram MNKC. Find the Perimeter of Triangle MON if MK = 10, NC = 6, KC = 5

Given:
parallelogram MNKC,
point O of the intersection of the diagonal of the parallelogram MNKC,
MK = 10,
NC = 6,
KC = 5.
Find the perimeter of the triangle MON, that is, P MON -?
Decision:
Consider the parallelogram MNKC. Knowing that the diagonals of the parallelogram are halved by the intersection point, then MO = 1/2 * MK;
MO = 1/2 * 10;
MO = (1 * 10) / 2;
MO = 5.
NO = 1/2 * NC;
NO = 1/2 * 6;
NO = 3.
In a parallelogram, the opposite sides are equal. Hence МN = КС = 5.
Then P MON = MO + NO + MN;
P MON = 5 + 3 + 5;
P MON = 13.
Answer: 13.