Is the perimeter of triangle ABC greater than 6 cm?

Question

(1) One side of triangle ABC measures 3 cm

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

delta23 · Answer

Please assist.
 VeritasKarishma   Bunuel   niks18   generis   chetan2u

karthikkaushik91 · Answer

A I guess, if one side is 3 then sum of other two sides should be greater than 3. So A is better. 
B could be 1,2,3 equal to 6 or 2,3,4 greater than 6. 
Pls let me know if my approach is not correct.
Cheers
Karthik

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pushpitkc · Answer

Hey  delta23

Welcome 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!

chamarts · Answer

1 2 3 cannot form a triangle

Posted from my mobile device

pushpitkc · Answer

Hey chamarts The answer to your question is NO - we cannot form a triangle with sides 1,2, and 3. Check this article for the details of the property in BLUE in my explanation for this problem https://gmatclub.com/forum/mastering-im ... 29621.html Also, read from the following list to solidify your concepts as far as geometry is concerned. 23. Geometry Theory Everything you need to know about GMAT Geometry in one slideshow Common Mistakes in Geometry Questions GMAT Trick: Rules about Figures in GMAT Geometry INSCRIBED AND CIRCUMSCRIBED POLYGONS ON THE GMAT Useful Articles and Practice Questions to ace GMAT Geometry Why Does the GMAT Test Geometry? Properties of Polygons Questions Questions Geometry Ability Quiz GEOMETRY: Shaded Region Problems Probability and Geometry Problems The E-GMAT Question Series on Geometry DS Questions PS Questions

delta23 · Answer

Hey  pushpitkc ,

Thanks, mate.

Appreciate your quick response.

Since this is an open-ended question, can this triangle be a scalene?

pushpitkc · Answer

delta23  Yes, the triangle can be scalene also.

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Is the perimeter of triangle ABC greater than 6 cm?

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Is the perimeter of triangle ABC greater than 6 cm?

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