Question

The longest side of a triangle is 3 times the shortest side and the third side is 2 cm
shorter than the longest side. If the perimeter of the triangle is at least 61 cm, find
the minimum length of the shortest side.
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Answer 1

Answer:

let the length of the shortest side be x cm

then length of longest side = 3x cm

length of third side = 3x - 2 cm

perimeter of triangle = 61cm

a + b + c = 61

where a , b , c are sides

x + 3x + 3x - 2 = 61

7x - 2 = 61

7x = 63

x = 9cm

∴ minimum length of shortest side = 9 cm