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In triangle XYZ, the length of side XY is 40. Is triangle XYZ a right

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In triangle XYZ, the length of side XY is 40. Is triangle XYZ a right [#permalink] New post   20 Jan 2021, 06:04
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In triangle XYZ, the length of side XY is 40. Is triangle XYZ a right triangle?

(1) The length of side YZ is 9.

(2) The length of side XZ is 41.
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Re: In triangle XYZ, the length of side XY is 40. Is triangle XYZ a right [#permalink] New post   13 Feb 2021, 23:56
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Is it C? Not sure if my justification is correct, but...

In triangle XYZ, the length of side XY is 40. Is triangle XYZ a right triangle?

(1) The length of side YZ is 9.
OK but we don't know anything about the interior angles other than the fact that they sum to 180.

(2) The length of side XZ is 41.
Same logic as 1)

C: It's a scalene triangle so none of the angles are the same. But we could still have a right triangle. To be sure, use the Pythagorean theorem and we find that the long side is not the sum of the squares of the 2 shorter sides:

41 =/ √40^2 + 9^2

Someone kudos if I got this.
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Re: In triangle XYZ, the length of side XY is 40. Is triangle XYZ a right [#permalink] New post   04 Jul 2022, 21:40
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Pitagoras needs to be applied in this question. The concept only, not the calculations.
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Re: In triangle XYZ, the length of side XY is 40. Is triangle XYZ a right [#permalink] New post   19 Oct 2023, 04:12
Hi Bunuel,

Can you please explain the underlying concept of solving this question. I cannot understand how upon satisfying the Pythagoras formula " C^2= A^2+B^2 " the conclusion is arrived at. Is there is anything that I am missing over here?

Thanks a lot😁
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Re: In triangle XYZ, the length of side XY is 40. Is triangle XYZ a right [#permalink]
19 Oct 2023, 04:12
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Bunuel
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