delta23 wrote:

Is the perimeter of triangle ABC greater than 6 cm?

(1) One side of triangle ABC measures 3 cm

(2) The lengths of the three sides of triangle ABC( in cm) are consecutive integers

Hey

delta23Welcome to GMATClub!

1. One side of triangle ABC measures 3 cm

Even if this side of the triangle ABC was the longest side, the sum of the other

two sides need to be greater than 3cm -

A triangle is formed when the sum of

the shorter sides is greater than the longest sides.

The perimeter(which is the sum of the 3 sides) will be greater than 6 in any case

(Sufficient)2. The lengths of the three sides of triangle ABC( in cm) are consecutive integers

The minimum sides of the triangle possible are 1, 2, 3 (since we need consecutive integers).

However, these lines will not form a triangle(as 1+2 is not greater than 3). Therefore, the

minimum sides of the triangle possible are 2, 3, and 4 and the perimeter > 6

(Sufficient - Option D)Hope this helps you!

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