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 )