harpazo
Full Member
- Joined
- Jan 31, 2013
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- 891
The lengths of the sides of a triangle are consecutive odd numbers. What is the length of the longest side if the perimeter is 45?
Solution:
The consecutive integers are x, x + 2 and x + 4. I do not understand why x + 2 and x + 4, both of which include an even number is the proper set up. Can someone explain the logic behind using even numbers to find odd consecutive integers.
x + x + 2 + x + 4 = 45
3x + 6 = 45
3x = 45 - 6
3x = 39
x = 39/3
x = 13
Answer: The length of the longest side of the triangle is 17.
Solution:
The consecutive integers are x, x + 2 and x + 4. I do not understand why x + 2 and x + 4, both of which include an even number is the proper set up. Can someone explain the logic behind using even numbers to find odd consecutive integers.
x + x + 2 + x + 4 = 45
3x + 6 = 45
3x = 45 - 6
3x = 39
x = 39/3
x = 13
Answer: The length of the longest side of the triangle is 17.