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Re: If the perimeter of a triangle is 18, then the length of one of the [#permalink]

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25 Aug 2017, 02:57

1

This post received KUDOS

We know that sum of any two sides of a triangle is greater than the side

hence if the length of a side is 9 then sum of the other two sides will 9 considering the perimeter as 18 under given condition the above scenario is not possible hence the answer is E

Re: If the perimeter of a triangle is 18, then the length of one of the [#permalink]

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26 Aug 2017, 14:02

Bunuel wrote:

If the perimeter of a triangle is 18, then the length of one of the sides CANNOT be

(A) 1 (B) 3 (C) 6 (D) 8 (E) 9

I understand why E is the answer. But why not option A ? if one side is 1, the other two sides will be 8 and 9. These cannot be the sides of the triangle. Can someone please explain?

Re: If the perimeter of a triangle is 18, then the length of one of the [#permalink]

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27 Aug 2017, 01:55

hwgmat2015 wrote:

Bunuel wrote:

If the perimeter of a triangle is 18, then the length of one of the sides CANNOT be

(A) 1 (B) 3 (C) 6 (D) 8 (E) 9

I understand why E is the answer. But why not option A ? if one side is 1, the other two sides will be 8 and 9. These cannot be the sides of the triangle. Can someone please explain?

Yes, why not A?the other two sides can be 10 and 7 as well.

Re: If the perimeter of a triangle is 18, then the length of one of the [#permalink]

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27 Aug 2017, 02:26

it can not be A let us take the case of an equilateral triangle perimeter is given to be 18 mm So each side would be 6 mm Now we have property of the triangle = a-b<c<a+b Since each side is equal a-b=0 a+b=12 so 0<c<12 but we know that perimeter is 18 so C<=6 I hope it is clear
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Re: If the perimeter of a triangle is 18, then the length of one of the [#permalink]

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27 Aug 2017, 03:49

Bunuel wrote:

If the perimeter of a triangle is 18, then the length of one of the sides CANNOT be

(A) 1 (B) 3 (C) 6 (D) 8 (E) 9

I need help

A) 1 should be greater than SUM OF OTHER 2 SIDES and Less than SUBTRACTION OF 2 SIDES

So if one side is 1 other 2 will be x+y = 17 (well it satisfies that 3rd side should be less than addition of rest 2 so 1 is valid) But for subtraction? Lets take x= 9 , y =8 , SO 9-8 = 1 , HENCE IT SHOULD BE GREATER THAN 1 to satisfy second condition but its equal to 1 then

If the perimeter of a triangle is 18, then the length of one of the sides CANNOT be

(A) 1 (B) 3 (C) 6 (D) 8 (E) 9

I need help

A) 1 should be greater than SUM OF OTHER 2 SIDES and Less than SUBTRACTION OF 2 SIDES

So if one side is 1 other 2 will be x+y = 17 (well it satisfies that 3rd side should be less than addition of rest 2 so 1 is valid) But for subtraction? Lets take x= 9 , y =8 , SO 9-8 = 1 , HENCE IT SHOULD BE GREATER THAN 1 to satisfy second condition but its equal to 1 then

Re: If the perimeter of a triangle is 18, then the length of one of the [#permalink]

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27 Aug 2017, 04:31

chetan2u wrote:

rocko911 wrote:

Bunuel wrote:

If the perimeter of a triangle is 18, then the length of one of the sides CANNOT be

(A) 1 (B) 3 (C) 6 (D) 8 (E) 9

I need help

A) 1 should be greater than SUM OF OTHER 2 SIDES and Less than SUBTRACTION OF 2 SIDES

So if one side is 1 other 2 will be x+y = 17 (well it satisfies that 3rd side should be less than addition of rest 2 so 1 is valid) But for subtraction? Lets take x= 9 , y =8 , SO 9-8 = 1 , HENCE IT SHOULD BE GREATER THAN 1 to satisfy second condition but its equal to 1 then

Re: If the perimeter of a triangle is 18, then the length of one of the [#permalink]

Show Tags

27 Aug 2017, 05:40

Bunuel wrote:

If the perimeter of a triangle is 18, then the length of one of the sides CANNOT be

(A) 1 (B) 3 (C) 6 (D) 8 (E) 9

Here E must be the answer. as we know the sum of two sides must be greater than the third side. so if one side is 9 so sum of other two side will also be 9 and it violates rules mentioned earlier Hence E
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