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Three different locations are represented on a map by the [#permalink]
22 Jul 2009, 01:57

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Three different locations are represented on a map by the points X,Y and Z. What is the actual distance between the locations represented on the map by X and Y ? ( 1cm = 200 KM)

1. Z is to the left of X and Y is to the right of X. 2. X is 4 cms from Z, and Y is 3 cms from Z.

Can't they be on the same line? 3-4-5 triangle is a very special case. You are doing wrong I think.

I agree this is might be a special case and this is exactly what I am want to know where am I going wrong.

Anyway the points can’t be on the same line because as per the 1st statement Z is to left of X and Y is to right of X and from the 2nd statement the distance between Z and Y is 3 which is not possible because in that X goes to the right of Y.

Yes you are right. They can not be on the same line. But there are unlimited number of triangles with 2 sides are 3 and 4. It may vary from 3-4-1,000001 to 3-4-6,999999999. Left of x and right of x may limit to some values. But it does not limit to 3-4-5

I can not find the distance with 2 statements. Somebody can show me the calculations?

Yes maliyeci you are right, the 3rd side can be 2 or may be 6 ... my bad I assumed that it will be 5 ( general notion while doing questions related to triangles )

Anyway thanks for making me understand ..the new lesson for the day .. i.e STOP Assuming :D