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Let the length of sides of triangle be '5a' cm, '7a' cm and '12a' cm.
Perimeter of triangle = sum of the length of each sides of triangle
5a + 7a + 12a = 144
Or, 24a = 144
So, 'a' = 6 cm
So, largest side = 12a = 12 X 6 = 72 cm
And, smallest side = 5a = 5 X 6 = 30 cm
Required difference = 72 - 30 = 42 cm
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