# Find the perimeter of the triangle KMP, if the length of the KM side is 5cm 8mm, the MP side is 1cm

Find the perimeter of the triangle KMP, if the length of the KM side is 5cm 8mm, the MP side is 1cm 5mm longer than the KM side, but 2cm 3mm shorter than the PK side.

Let’s find the length of the MP side:

Since the MP side is 1 cm 5 mm longer than the KM side, then the MP side length is

5 cm 8 mm + 1 cm 5 mm = 6 cm 13 mm = 7 cm 3 mm.

Determine the length of the side of the RK:

According to the condition of the problem, the MR is shorter by 2 cm 3 mm of the PK side, then the PK side is 2 cm 3 mm longer than the MR side, that is

7 cm 3 mm + 2 cm 3 mm = 9 cm 6 mm.

Find the perimeter of the CMR triangle:

5 cm 8 mm + 7 cm 3 mm + 9 cm 6 mm = 21 cm 17 mm.

Answer: The perimeter of the KMR triangle is 21 cm 17 mm.

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