Question 1031092: The parameter of a triangle is 49cm the one side is 7cm longer than the other & 5cm shorter than the third side find the length of each side of triangle
Answer by Jolliano(16)   (Show Source):
You can put this solution on YOUR website! Let the 3 sides be a, b and c.
therefore,
a + b + c = 49 ...(1)
a = b + 7 ...(2)
a = c - 5 ...(3)
From (2),
a = b + 7
b = a - 7 ...(4)
From (3),
a = c - 5
c = a + 5 ...(5)
Substitute equations (4) and (5) in (1)
a + b + c = 49
a + (a - 7) + (a + 5) = 49
3a - 2 = 49
3a = 49 + 2
3a = 51
a = 51/3
a = 17cm
Substitute the value of a in (4)
b = a - 7
b = 17 - 7
b = 10cm
Substitute the value of a in (5)
c = a + 5
c = 17 + 5
c = 22cm
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