Respuesta :
Answer:
13, 15,17
Step-by-step explanation:
Let x = the first number
Let x + 2 = the second number
Let x + 4 = the third number
Consecutive means in order like 1,2,3 or 20,21,22. Consecutive odd means that you want three numbers in order that are odd. Each number would be 2 more than the number before. For example 5 + 2 = 7. We would have to add 4 to 5 to find the next consecutive odd number.
x + (x + 2) + (x +4) = 45 I put the numbers in parentheses so you could see the first number plus the second number plus the third number equals 45
x + x+ 2 + x+ 4 = 45 Combine like terms
3x + 6 = 45 Subtract 6 from both sides of the equation.
3x = 39 Divide both sides by 3
x = 13
Add 2 to that to get the next odd number.
Add 4 to 13 to get the third odd number.
Answer: 13 cm
Step-by-step explanation:
Let the value of the shortest of the three side lengths is x.
Since the three sides of a triangle are consecutive odd
integers, hence: x, x+2, x+4.
Thus,
[tex]P=x+(x+2)+(x+4)\\45=x+x+2+x+4\\45=3x+6\\45-6=3x+6-6\\39=3x\\[/tex]
Divide both parts of the equation by 3:
[tex]13\ cm=x[/tex]
