# Perimeter of the triangle = 132cm. The sum of the sides MN and NK = 79cm. that is 11cm less

**Perimeter of the triangle = 132cm. The sum of the sides MN and NK = 79cm. that is 11cm less than the sum of the sides MK and NK Find the lengths of the sides of the triangle**

Let’s write down everything that is given to us in the condition:

Given a triangle MNK,

MN + MK = 79 cm,

MK + NK = 79 – 11 (cm),

The perimeter of the triangle is P = 132 cm,

You need to find the length of all sides of the triangle.

We express MK from the second sum of the parties:

MK = 79 – 11 – NK,

MK = 68 – NK,

Now we write down the formula for the perimeter of this triangle:

P = MN + NK + MK

132 = 79 + (68 – NK)

132 = 79 + 68 – NK

NK = 79 + 68 – 132

NK = 15 (cm),

Now let’s find the other sides:

MN = 79 – 15

MN = 64 (cm),

MK = (79 – 11) – 15

MK = 68 – 15

MK = 53 (cm).

Answer: NK = 15 cm, MK = 53 cm, MN = 64 cm.