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

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Manager
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, 07:30
1
00:00

Difficulty:

45% (medium)

Question Stats:

59% (01:14) correct 41% (01:16) wrong based on 26 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: 157
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, 07:40
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
Re: If AB = 5cm, is the perimeter △ABC > 20cm?   [#permalink] 04 Feb 2019, 07:40
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