SOLUTION: The perimeter of a triangle is 124. The first side is 6cm less than 3 times the second. The 3rd side is 10cm more than the second. what are the lengths of each side?

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Question 506378: The perimeter of a triangle is 124.
The first side is 6cm less than 3 times the second. The 3rd side is 10cm more than the second. what are the lengths of each side?
Answer by Sarah900(12) About Me  (Show Source):
You can put this solution on YOUR website!
To solve this problem we need to write the side lengths in terms of a single variable. Since all the side lengths are compared to the second side, we will call the second side's length "x". So...


Second length=x
first length= 3x-6
third length= x+10


Since the perimeter of a triangle is equal to the length of all three sides we can add the three..
124= x+(x+10)+(3x-6)
Combine like terms and solve for x
124=5x+4
120=5x
24=x


Now we know the length of the second side which we originally deemed x. To find the others you replace x with 24 in the other two.
3(24)-6=66
24+10=34