Q. 114.2( 5 Votes )

The longest side

Answer :

Let the length of shortest side be ‘x’ cm


Given, the longest side of a triangle is twice the shortest side


length of largest side = 2x


Also, the third side is 2 cm longer than the shortest side


length of third side = (x + 2) cm


Perimeter of triangle = sum of three sides


= x + 2x + x + 2


= 4x + 2 cm


Now, perimeter is more than 166 cm


4x + 2 ≥ 166


4x ≥ 164


x ≥ 41


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


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