SOLUTION: A triangle has a perimeter of 84 inches. its shortest side measures 9 inches shorter than its middle side,and its longest side measures 6inches longer than its middle side. find th

Question 330733: A triangle has a perimeter of 84 inches. its shortest side measures 9 inches shorter than its middle side,and its longest side measures 6inches longer than its middle side. find the lengths of the triangle three sides
Answer by dewasmaharaja(5) (Show Source): You can put this solution on YOUR website!
Let three sides of the triangle be
l for long
m for middle
s for short
Then,
l + m + s = 84 ...(a)
s = m - 9 ...(b)
l = m + 6 ...(c)
Substituting equation (b) and (c) in (a),
m - 9 + m + m + 6 = 84
3m = 87
Therefore, m = 87/3 = 29
From (b), s = 29 - 9 = 20
From (c), l = 29 + 6 = 35
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