SOLUTION: A triangle has a perimeter of 24 feet. The shortest side is 4 feet shorter than the longest side, and the sum of the shortest and longest sides is equal to twice the length of the

Algebra ->  Triangles -> SOLUTION: A triangle has a perimeter of 24 feet. The shortest side is 4 feet shorter than the longest side, and the sum of the shortest and longest sides is equal to twice the length of the      Log On


   

Question 348669: A triangle has a perimeter of 24 feet. The shortest side is 4 feet shorter than the longest side, and the sum of the shortest and longest sides is equal to twice the length of the other side. What are the lengths of the three sides of this triangle?
Found 2 solutions by solver91311, ewatrrr:
Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!


Let represent the shortest side. Then the longest side must be , and the other side must be . And finally:



Solve for , then calculate and

John

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Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
Hi,
Note: the perimeter is the sum of the lengths of the sides of the triangle.
Let l represent the longest side
.
Write as You Read (let l be the longest side
shortest side is (l-4)
"other side" is half the sum of l and (l-4)
.
l+%2B+%28l-4%29+%2B+%28l%2B%28l-4%29%29%2F2+=+24
.
simplfy
2%2Al+-+4+%2B+%282%2Al-4%29%2F2+=+24
.
2%2Al+-+4+%2B+%28l-2%29+=+24
3%2Al+-+6+=+24
3%2Al+=+30
l=10ft
shortest side is 6ft
Other side is 8ft
.
check Your answer
10ft + 6ft +8ft = 24ft