# The perimeter of the triangle BMP is 128 mm. It is known that the side of the BM is 5 cm 6 mm

**The perimeter of the triangle BMP is 128 mm. It is known that the side of the BM is 5 cm 6 mm, and the side of the MP is half as long as the BM. Determine BP Side Length**

Find the length of the side MP of this triangle BMP.

According to the condition of the problem, the length of the side BM of this triangle is 5 cm 6 mm, one hundred in millimeters is 56 mm, and the length of the side MP is two times shorter than BM, therefore, the length of the side MP is:

| MP | = | BM | / 2 = 56/2 = 28 mm.

Let us find the length of the side BP of this triangle.

According to the condition of the problem, the perimeter of the BMP triangle is 128 mm, therefore, we can write the following relationship:

| MP | = | BM | + | ВP | = 56 + 28 + | ВP | = 84 + | ВP | = 128.

Hence:

| ВP | = 128 – 84 = 44 mm.

Answer: The length of the BP side is 44 mm.