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PLEASE HELP! Please have your answer in steps so that I can understand what to do as well, thanks so much in advance.

PLEASE HELP! Please have your answer in steps so that I can understand what to do-example-1

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Answer:

19 cm

Explanation:

Let's denote the three consecutive odd integers as x,x+2, and x+4 (since consecutive odd integers have a difference of 2).

The perimeter (P) of the triangle is the sum of the lengths of its three sides:

P =x+(x+2)+(x+4)

Given that P = 51 cm, we can set up an equation:

51 = 3x+6

Now, solve for

3x = 45

x = 15

Now that we have the value of x, we can find the lengths of the three sides:

Length of the first side (x): 15 cm

Length of the second side (x+2): 17 cm

Length of the third side (x+4): 19 cm

So, the length of the longest side is 19 cm

User Williette
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