One side of the triangle is 2 times smaller than the other side and 3 cm smaller than the third Find the sides of the triangle

One side of the triangle is 2 times smaller than the other side and 3 cm smaller than the third Find the sides of the triangle if its perimeter is 31 cm.

If the first side = x, then the second = (x-2) cm and the third = (x-3) cm
P = 1 side + 2 side + 3 side
x + (x-2) + (x-3) = 31
x + x-2 + x-3 = 31
3x = 31 + 5
3x = 36
x = 12cm – 1 side
2 side = x-2 = 12-2 = 10cm
3 side = x-3 = 12-3 = 9cm
Answer: 12cm, 10cm, 9cm



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