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

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

Answers (1)

Let us assume that length of the shortest side of the triangle is ‘x’ cm

Thus, length of the largest side = 2x          …. (given)

& length of the third side = (x + 2) cm       …. (given)

Now, we know that,

Perimeter of a triangle = sum of all three sides

                                    = x + 2x + x + 2

                                    = 4x + 2 cm

Now, it is given that perimeter of the triangle is more than 166 cm,

Thus, 4x+2\geq 166

4x\geq 164

Thus,x\geq 41

Therefore, the minimum length of the shortest side should be = 41 cm

Posted by

infoexpert22

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