A triangle has a perimeter of 53 cm. The shortest side of the triangle is 2
more than one-third of the longest side and the o

1 thought on “A triangle has a perimeter of 53 cm. The shortest side of the triangle is 2<br />more than one-third of the longest side and the o”

1. Answer:

   Step-by-step explanation:

   Let the length of shortest side be x cm.

   According to the given information,

   Longest side = 2× Shortest side

   =2x cm

   and third side = 2+ Shortest side

   =(2+x) cm

   Perimeter of triangle =x+2x+(x+2)=4x+2

   According to the question,

   Perimeter >166 cm

   ⇒4x+2>166

   ⇒4x>166−2

   ⇒4x>164

   ∴x>1644=41 cm

   Hence, the minimum length of shortest side be 41 cm.

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