Question

The longest side of a triangle is twice the shortest side and the third side is $2cm$ longer than the shortest side. If the perimeter of the triangle is more than $166cm$ then find the minimum length of the shortest side.

Answer 1

Let the shortest side = $xcm$

Then the longest side = $2xcm$

Third side will be = $(x+2)cm$

Perimeter of triangle = sum of lengths of all sides

= $x+2x+x+2$

= $4x+2$

$\because Perimeter>166cm$ [Given ]

$\Rightarrow 4x+2>166$

$\Rightarrow 4x>164$

$\Rightarrow x>41cm$

Hence, the minimum length of shortest side is more than $41cm$.