Question "A right triangle has a hypotenuse..." [1360]

[user9530]

https://www.gregmat.com/problems/quant?problem=a-right-triangle-has-a-hypotenuse

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hey quick one - how can the triangle be 1-7-8? I also clocked that 1+49 = 50; however, doesn’t this violate the rule that the third side should be GREATER than 1 (i.e., 8-7)?

[Kweku]

@user9530

hey quick one - how can the triangle be 1-7-8?

It can’t.

It should be 1-7-\sqrt{50}

@user9530

however, doesn’t this violate the rule that the third side should be GREATER than 1 (i.e., 8-7)?

Yes, so the third side is \sqrt{50} not 8.

[user9530]

of course, how silly of me - thanks!