SOLUTION: The third side of a triangle is 4 inches longer than the shortest side and 2 inches smaller than the longest side. If the perimeter of the triangle is 31 inches, what is the length
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Question 635969: The third side of a triangle is 4 inches longer than the shortest side and 2 inches smaller than the longest side. If the perimeter of the triangle is 31 inches, what is the length of each side?
Answer by sachi(548) (Show Source): You can put this solution on YOUR website!
The third side of a triangle is 4 inches longer than the shortest side and 2 inches smaller than the longest side. If the perimeter of the triangle is 31 inches, what is the length of each side?
ans:-
let in triangle ABC sides AB
as per question
BC=AB+4 eqn 1
BC=CA-2 eqn 2
now if BC=x" then AB=x-4 & CA=x+2 (from above eqns)
but AB=BC=Ca=31
or x-4+x+x+2=31
or 3x=31+4-2=33
x=BC=33/3=11
AB=11-4=7 & CA=11+2=13 ans
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