Answer:
17
Step-by-step explanation:
Let x be the first side
x+2 is the next side ( consecutive odd number)
x+4 is the third side ( consecutive odd number)
P = x + x+2 + x+4
45 = x + x+2 + x+4
Combine like terms
45 = 3x+6
Subtract 6 from each side
45-6 = 3x+6-6
39 = 3x
Divide by 3
39/3 = 3x/3
13 =x
The longest side is
x+4
13+4 = 17
The longest side is 17
The longest side is 16.
Let the consecutive sides be y, y+1, and y+2.
The perimeter of a triangle is gotten by adding all its sides. Therefore, the perimeter will be:
y + y+1 + y+2 = 45
Collect like terms
3y = 45 - 3
3y = 42
Divide both side by 3
3y/3 = 42/3
y = 14
Therefore, the longest side will be:
y + 2 = 14 + 2 = 16
The longest side is 16.
Read related link on:
https://brainly.com/question/13978159
