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Problem Solving (PS) | Re: A certain right triangle has sides of length x, y and z, where x < y

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brs1cob wrote:

the answer is A.

since we know that area is 1 and it is given that x < y < z for the right angled triangle, we can say that z is the longest triangle. x*y = 2. let's say y(2) > x(1), then z>2.


Hi brs1cob,

I do understand your approach, though I had a doubt.
For any given triangle if two sides are given then the third side has to be less than the sum and greater than the difference of the two sides.
So in the current case since xy=2, if we take x =1, y=2, then the value of z can
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