Answer :
The value of n that makes up the triangle of perimeter 15 centimeters is 2.5
How to determine the value of n?
The side lengths of the triangle are given as:
5n - 6, n and 2n + 1
The perimeter is given as:
P = 15
The perimeter is the sum of the side lengths.
So, we have:
5n - 6 + n + 2n + 1 = 15
Collect like terms
5n + n + 2n = 15 + 6 - 1
Evaluate the like terms
8n = 20
Divide both sides by 8
n = 2.5
Hence, the value of n that makes up the triangle is 2.5
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