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A triangle has a perimeter of 50m. If the three sides of the triangle are n, 4n−5, and 2n+6, what is the length of each side?

User Emiel
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1 Answer

11 votes

Answer:

7, 23, and 20

Explanation:

Okay, let's go through this. We know that the perimeter is 50 and the perimeter must be all the sides added together. let's write that down

n + 4n - 5 + 2n +6 = 50

Let's combine like terms

7n + 1 = 50

subtract 1 from each side

7n = 49

Divide both sides by 7

n = 7

We know that one of the sides is n, so part of our answer is 7. Now let's plug in n for the other values

4(7) - 5 = 23

2(7) +6 = 20

The answer is 7, 23, and 20

User Eugenio Cuevas
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5.9k points