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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?  [#permalink]

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New post 14 Aug 2018, 00:34
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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

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New post 14 Aug 2018, 00:37
Please assist.
VeritasKarishma Bunuel niks18 generis chetan2u
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Re: Is the perimeter of triangle ABC greater than 6 cm?  [#permalink]

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New post 14 Aug 2018, 00:41
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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Re: Is the perimeter of triangle ABC greater than 6 cm?  [#permalink]

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New post 14 Aug 2018, 00:47
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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 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!
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Re: Is the perimeter of triangle ABC greater than 6 cm?  [#permalink]

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New post 14 Aug 2018, 00:49
1 2 3 cannot form a triangle

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Is the perimeter of triangle ABC greater than 6 cm?  [#permalink]

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New post 14 Aug 2018, 00:58
chamarts wrote:
1 2 3 cannot form a triangle

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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



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Re: Is the perimeter of triangle ABC greater than 6 cm?  [#permalink]

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New post 14 Aug 2018, 01:43
Hey pushpitkc,

Thanks, mate.

Appreciate your quick response.

Since this is an open-ended question, can this triangle be a scalene?
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Re: Is the perimeter of triangle ABC greater than 6 cm?  [#permalink]

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New post 14 Aug 2018, 01:55
delta23 wrote:
Hey pushpitkc,

Thanks, mate.
Appreciate your quick response.

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


delta23 Yes, the triangle can be scalene also.
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Re: Is the perimeter of triangle ABC greater than 6 cm?   [#permalink] 14 Aug 2018, 01:55
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