Bunuel wrote:

Official Solution:

Statement (1) by itself is insufficient. We can decrease the perimeter by shrinking the triangle (i.e. by choosing \(AB\) close to 7 and \(BC\) close to 0).

Statement (2) by itself is insufficient. There are no limits on the size of the triangle.

Statements (1) and (2) combined are sufficient. S1 and S2 combined provide a system of equations from which it follows that \(AB\) is 3, \(BC\) is 4, the hypotenuse is 5, and the perimeter is 12.

Answer: C

Hello Bunuel,

Here is how approached this problem:

Statement 1: I considered that as ABC is a right angled triangle, I should look for pythagoras triplets - so AB and BC must be 3,4 to give 5 as hypotenuse.

Could you please tell me how is this approach wrong?

Thanks!

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Thanks,

aimtoteach

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