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.

Answer 1

let the shorter side be x
longer side be 3x
third side be 3x -2
perimeter= 61cm
so,
3x+x+3x-2=61
7x-2= 61
7x=63
x= 63/7
hence the shorter side length is 9 cm.




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Answer 2

let the shortest side =x cm

longest side=3x cm
third side=3x-2
perimeter = 61 cm

x+3x+3x-2=61

7x=61+2
7x=63

x =63/7

x= 9
minimum length of shortest side = x= 9 cm