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Let the three sides be 1x, 3x and 5x
so, 1x + 3x + 5x = 13.5 cm
⇒9x= 13.5
⇒x = 13.5 / 9 = 1.5 cm
so, one side = 1.5 cm
2nd side = 1.5 x 3 = 4.5 cm and 
3rd side = 1.5 x 5 = 7.5 cm
now taking 7.5 cm as base draw an arc of 1.5 cm from one end and 4.5 cm from another. join the point where they intersect to the other ends. this is the required triangle 
1 5 1
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