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Re: If x, y, and z are positive integers and x^2 = y^2 + z^2, which of the
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30 Aug 2016, 06:57
ANSWER: E Statement Ⅰ must be true, because if all three variables are positive integers and x2=z2 plus the square of another positive integer, then x has to be greater than z;, plug in numbers to verify. Ⅲ must be true because the square of a positive integer is always a positive integer, and y2+z2 is equal to the square of a positive integer (i.e.=x2). Ⅱ does not have to be true because if you square both sides of x=y+z, you get x2=y2+2yz+z2, which does not agree with the original statement
If x, y, and z are positive integers and x^2 = y^2 + z^2, which of the
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Updated on: 01 Sep 2016, 16:32
1
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.
Originally posted by Donnie84 on 30 Aug 2016, 17:46.
Last edited by Donnie84 on 01 Sep 2016, 16:32, edited 1 time in total.
Re: If x, y, and z are positive integers and x^2 = y^2 + z^2, which of the
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31 Aug 2016, 10:45
1
Donnie84 wrote:
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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Re: If x, y, and z are positive integers and x^2 = y^2 + z^2, which of the
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01 Sep 2016, 16:32
abhimahna wrote:
Donnie84 wrote:
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
Re: If x, y, and z are positive integers and x^2 = y^2 + z^2, which of the
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04 Oct 2017, 11:25
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