In a right triangle, the lengths of the two legs are consecutive integers. If the hypotenuse equals the sum of the legs, what are the lengths of the legs?
Category: Math · Difficulty: hard
Hint: Apply the Pythagorean theorem to find the relationship.
Answer
3 and 4
Explanation
Let legs be n and n+1. Thus n^2 + (n+1)^2 = (n+n+1)^2, giving n = 3, n+1 = 4.
This is a hard math riddle — a tricky one that takes a little thought. The answer is 3 and 4.
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