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# What is the perimeter of an isosceles triangle PQR with integer sides

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Director
Joined: 18 Feb 2019
Posts: 581
Location: India
GMAT 1: 460 Q42 V13
GPA: 3.6
What is the perimeter of an isosceles triangle PQR with integer sides  [#permalink]

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06 Mar 2019, 21:00
2
00:00

Difficulty:

65% (hard)

Question Stats:

49% (01:39) correct 51% (01:14) wrong based on 35 sessions

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What is the perimeter of an isosceles triangle PQR with integer sides if PQ=6 cm?

I. QR=3cm
II. PR<4cm
Intern
Joined: 20 Sep 2018
Posts: 2
Re: What is the perimeter of an isosceles triangle PQR with integer sides  [#permalink]

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06 Mar 2019, 21:17
1
As the triangle is an isosceles triangle, any two sides need to be equal.
From statement 1:
One of the other sides is 3cm.
Which means that the remaining third side could either be 3cm or 6 cm in length.
However,
If the other side is 3 cm, the basic property of triangles is not fulfilled.
" The sum of any two sides has to be greater than the third side"
Thus, the value of the third side has to be 6cm which means that option A is the right answer.

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Re: What is the perimeter of an isosceles triangle PQR with integer sides   [#permalink] 06 Mar 2019, 21:17
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