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.
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