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# If AB = 5cm, is the perimeter △ABC > 20cm?

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Joined: 25 Dec 2018
Posts: 148
Location: India
GMAT 1: 490 Q47 V13
GPA: 2.86
If AB = 5cm, is the perimeter △ABC > 20cm?  [#permalink]

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04 Feb 2019, 08:30
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35% (medium)

Question Stats:

63% (01:09) correct 37% (01:14) wrong based on 63 sessions

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If AB = 5cm, is the perimeter △ABC > 20cm?

(1) BC = 13cm
(2) 10cm < AC < 13cm
Manager
Joined: 05 Feb 2016
Posts: 169
Location: India
Concentration: General Management, Marketing
WE: Information Technology (Computer Software)
Re: If AB = 5cm, is the perimeter △ABC > 20cm?  [#permalink]

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04 Feb 2019, 08:40
1
akurathi12 wrote:
If AB=5cm, is the perimeter △ABC>20cm?

I. BC=13cm
II.10cm < AC < 13cm

From 1: AB=5,BC=13 .Since sum of two sides of a triangle is greater than the third side
Then AB+AC>BC;5+x>13;X>8 .Therefore sufficient.

From 2: AB=5,10cm < AC < 13cm .Since sum of two sides of a triangle is greater than the third side
Then AB+BC>AC;5+x>10.1;X>5.1 . So sum of three side is greater than 20 .Therefore sufficient.

D
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Joined: 18 Aug 2017
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Concentration: Sustainability, Marketing
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Re: If AB = 5cm, is the perimeter △ABC > 20cm?  [#permalink]

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06 Apr 2019, 03:30
akurathi12 wrote:
If AB = 5cm, is the perimeter △ABC > 20cm?

(1) BC = 13cm
(2) 10cm < AC < 13cm

#1
THIRD SIDE RULE
SO third side has to be <13+5 and >13-5 ; within 8 to 18

min value of AC= 9 ; 9+5+13; 27 ; sufficient
#2
10cm < AC < 13cm
sufficeint
IMO D
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Re: If AB = 5cm, is the perimeter △ABC > 20cm?   [#permalink] 06 Apr 2019, 03:30
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