DS
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Source: Beat The GMAT — Data Sufficiency |
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karthick451
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Looks like there is something wrong with the question. If not, I'm missing something very obvious here.
Since z is the diagonal, it has to be largest side formed by the triangle xyz.
But x-y = z implies that x is greater than z.
Since z is the diagonal, it has to be largest side formed by the triangle xyz.
But x-y = z implies that x is greater than z.
Thats right. The question seems wrong. Here is why, mathematically:karthick451 wrote:Looks like there is something wrong with the question. If not, I'm missing something very obvious here.
Since z is the diagonal, it has to be largest side formed by the triangle xyz.
But x-y = z implies that x is greater than z.
x - y = z ...........(a)
x^2 + y^2 = z^2 ...........(b)
squaring both sides of (a), we get:
x^2 + y^2 - 2xy = z^2 .........(c)
subtracting (c) from (b), we get:
2xy = 0
which is impossible, unless ABCD is a line instead of a rectangle.
The explanation provided by some 'guest' above is wrong in more than one places...
The square root of x^2-2xy+y^2 is (x+y) NOPE, its x-y
x^2-2xy+y^2=49 where did you get the 49 from? Thats not a 7, thats a z as in zebra...
