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Problem Solving (PS) | Re: In ∆ ABC above, which of the following must be true?

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Bunuel wrote:

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In ∆ ABC above, which of the following must be true?

(A) r + s = x + y
(B) r + s = y – s
(C) r – s = x + y
(D) r – s = x – y
(E) r – s = y – x

[Reveal] Spoiler:



As per the given information in the above triangle, we can see that:

r + x = 90
s + y = 90
So let's equate both the equations.

r + x = s + y = 90
r + x = s + y
r - s = y - x
Hence E - (E) r – s = y – x
...

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