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moneyman
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 Posted: Sat Sep 01, 2007 5:50 am Post subject: Testprep4 |
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If two sides of a tringle have lenghts 2 and 5,which of the foll could be the perimeter??
9
15
19
none
1 only
2 only
2 and 3 only
1,2 and 3
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agps
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| Posted: Sat Sep 01, 2007 6:46 am Post subject: |
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I - perimeter 9 would mean 5+2+x=9 -> x=2, impossible, the sum of every two sides of a triangle must be greater than the third side. 2+2=4 < 5.
II - perimeter 15 would mean x=8 5+2=7 < 8 impossible
III - perimeter 19 x= 12 5+2=7 < 12 impossible
Answer is A |
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tanyajoseph
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| Posted: Sat Sep 01, 2007 1:57 pm Post subject: |
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The answer should be 1 only - 9
Reason :
perimeter 9 -> 5+2+x=9 -> x=2
Isoceles triangle satisfies the condition. |
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gabriel
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| Posted: Sat Sep 01, 2007 11:05 pm Post subject: |
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| tanyajoseph wrote: | The answer should be 1 only - 9
Reason :
perimeter 9 -> 5+2+x=9 -> x=2
Isoceles triangle satisfies the condition. |
A triangle with sides 5,2,2 cannot be drawn , bcoz the side of every triangle should meet a very important rule .. the sum of any 2 sides should be greater than the 3rd side( this is the same one that agps mentioned in his post) .. so a triangle with sides 5,2,2 cannot be drawn bcoz 2+2< 5 ..
.. I agree with agps' answer .. |
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