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PS-Area of Triangle

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by nitya34 » Sun Jul 05, 2009 10:35 pm
Two sides of a triangle have length 6 and 8. Which of the following are possible areas of the triangle?

I. 2

II. 12

III. 24

OA is all three...I feel..[spoiler].II&III are Correct[/spoiler]
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Source: — Problem Solving |

by kyabe » Mon Jul 06, 2009 3:14 am
It should be all three.

Even if the length of two sides are 6 and 8 it might be possible that height of the triangle = .5

So in the scenario where base's length is 8 and height of the triangle is .5 we get the area as 2.

HTH!!!
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by nitya34 » Mon Jul 06, 2009 3:16 am
agreed
Many of the great achievements of the world were accomplished by tired and discouraged men who kept on working.
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by Mayur Sand » Mon Jul 06, 2009 9:35 am
a triangle has a property that "Any side of a triangle is less than a sum of two other sides and more than their difference"

Using this logic we can rule out (a) Let me know in case i miss out on something
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by cata1yst » Mon Jul 06, 2009 10:34 am
Mayur Sand wrote:a triangle has a property that "Any side of a triangle is less than a sum of two other sides and more than their difference"

Using this logic we can rule out (a) Let me know in case i miss out on something
You are right, but the answer choices are areas not the length of the remaining side.
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by imhimanshu » Wed Jul 08, 2009 9:18 am
again a slightly tricky one..
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