The perimeter of the MPK triangle is 44 cm. The MP side is 4 cm larger than the PK side, and the MK

The perimeter of the MPK triangle is 44 cm. The MP side is 4 cm larger than the PK side, and the MK side is 2 times larger than the PK side. Find the lengths of all sides of the triangle.

1. Let PK be equal to c, then MP is equal to 4 + c, and MK is equal to 2c. We add the sides, we get the perimeter of the triangle, solve the resulting equation:
s + 4 + s + 2s = 44,
4s = 44 – 4,
c = 40/4,
c = 10.
2. Find MK and MP:
MP = 4 + 10 = 14 cm.
MK = 2 * 10 = 20 cm.
Answer: PK is 10 cm, MP is 14 cm, MK is 20 cm.