Question

The longest side of a triangle is 3 times the shortest side and the third side is 2
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

Step-by-step explanation:

let the longest side be x

shortest side be x

3rd side be 2x -3x=x

perimeter of the triangle = x+2x+3x

61=6x

x=61/6

the shortest side is 61/6

Answer 2

Let us consider the problem:

longest of the shortest side be x cm

therefore, length =3 shorter side =3x

and length of third side =(3x−2)cm

now,

perimeter = sum of there side = x+3x+(3x−2)

= x + 3x+ 3x−2

= 7x−2

Given to:

perimeter of triangle is at least =61cm

there fore, ≥61

7x−2≥61

7x≥61+2

7x≥63

x≥ 63/7

x≥9

hence the minimum leghth of the shortest side is 9cm