Three consecutive integers form the lengths of a right angled triangle How many sets of such three c...........

Quantitative Aptitude (CDS) Coordinate Geometry

Three consecutive integers form the lengths of a right-angled triangle. How many sets of such three consecutive integers is/are possible?

Only one

Only two

Only three

Infinitely many

let n-1, n, n+1 be 3 consecutive integers

So (n+1)² = n² + (n-1)²

(n+1)²- (n-1)² = n²

4n = n²

So n = 0 or n = 4

n can’t be 0 as n-1 will be negative then So 3,4 and 5 is the only triplet formed

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