BunuelI have a query on this question.

I reached to the conclusion that 1 and 2 are not sufficient independently.

However, while combining 1 & 2, I took the below options.

AB+BC=8 can have options many options of value like 1+7, 2+6, 3+5, 4+4.

and as (2) says that Hyp \sqrt{50} then it means that sides AB and BC have to have values whose sum = 8.

So, while solving it, I came across that AB and AC can have all different values. (are we not supposed to take multiple combinations for sum of 8?)

With different values of the sides, there shall be multiple options, and hence I concluded that C is not sufficient and that E is the answer.

Also, I have gone through the OA and OE given by you. That makes sense to my mind.

But I still can't figure where my reasoning went wrong?

Please help and suggest!