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The lengths of the adjacent sides of a right – angled triangle are xcm, (x-1)cm….

The lengths of the adjacent sides of a right – angled triangle are xcm, (x-1)cm. If the length of the hypotenuse is (sqrt{13}cm), find the value of x
  • A.
    2
  • B.
    3
  • C.
    4
  • D.
    5
Correct Answer: Option B
Explanation

(x^2+(x-1)^2 = (sqrt{13})^2 Rightarrow x^2 + x^2 – 2x + 1 = 13\
2x^2 – 2x – 12 = 0) dividing through by 2
(x^2 – x- 6 = 0; (x-3)(x-2) = 0 Rightarrow x = 3 or -2 )