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# If the length of side AB is 5 and the length of side BC is 7, then WHI

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Joined: 29 Oct 2019
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If the length of side AB is 5 and the length of side BC is 7, then WHI  [#permalink]

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29 Jan 2020, 08:49
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If the length of side AB is 5 and the length of side BC is 7, then WHICH of the following cannot be the perimeter of triangle ABC?

(A) 13

(B) 15

(C) 19

(D) 21

(E) 23

Source: GMAT Quantum Math Course
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Re: If the length of side AB is 5 and the length of side BC is 7, then WHI  [#permalink]

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29 Jan 2020, 10:43
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sjuniv32 wrote:
If the length of side AB is 5 and the length of side BC is 7, then WHICH of the following cannot be the perimeter of triangle ABC?

(A) 13

(B) 15

(C) 19

(D) 21

(E) 23

Source: GMAT Quantum Math Course

For a triangle to exist, sum of any two sides > Third side

i.e. if sides are 5, 7 and x

then 5+7 > x and 5+x > 7
i..e 2 < x < 12

i.e. 5+7+2 < Perimeter < 5+7+12

i.e. 14 < Perimeter < 24

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Re: If the length of side AB is 5 and the length of side BC is 7, then WHI   [#permalink] 29 Jan 2020, 10:43
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