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x^2=y^2+Z^2 ; eg:- 5^2=4^2+3^2 ; 25=16+9 (x,y and z are all positive)

Ans D
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x^2 = y^2 + z^2 is the equation for the Pythagorean theorem.

I. x > z -> always true since hypotenuse is the longest side
II. x = y + z -> never true since the length of any side of a triangle is less than the sum of length of other two sides
III. y^2 + z^2 is a positive integer -> true in this case since it is given that y and z are positive integers

Answer (E).

Edited: option E is the correct answer.
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Donnie84
x^2 = y^2 + z^2 is the equation for the Pythagorean theorem.

I. x > z -> always true since hypotenuse is the longest side
II. x = y + z -> never true since the length of any side of a triangle is less than the sum of length of other two sides
III. y^2 + z^2 is a positive integer -> true in this case since it is given that y and z are positive integers

Answer (D).

I think you meant option E. Please recheck.
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abhimahna
Donnie84
x^2 = y^2 + z^2 is the equation for the Pythagorean theorem.

I. x > z -> always true since hypotenuse is the longest side
II. x = y + z -> never true since the length of any side of a triangle is less than the sum of length of other two sides
III. y^2 + z^2 is a positive integer -> true in this case since it is given that y and z are positive integers

Answer (D).

I think you meant option E. Please recheck.

Oh yes, E is what I meant.
+1 to you.
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Hello from the GMAT Club BumpBot!

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