SOLUTION: One side of a triangle is twice the smallest side. The third side is four feet more than the shortest side. The perimeter is 16 feet. Find the lengths of all three sides (in feet).
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Question 1190057: One side of a triangle is twice the smallest side. The third side is four feet more than the shortest side. The perimeter is 16 feet. Find the lengths of all three sides (in feet). (Enter your answers as a comma-separated list.)
Answer by MathLover1(20850) (Show Source): You can put this solution on YOUR website!
let sides be , , and
let the smallest side be
if one side , let say , of a triangle is twice the smallest side we have
......eq.1
if the third side is four feet more than the shortest side, we have
........eq.2
if the perimeter is feet, we have
.........substitute and from eq.1 and eq.2
...........solve for
go to
......eq.1...substitute
go to
........eq.2...substitute
the lengths of all three sides (in feet): , ,
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