Question on: WAEC Mathematics - 2005
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
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Correct Option: B
(x^2+(x-1)^2 = (\sqrt{13})^2 \Rightarrow x^2 + x^2 - 2x + 1 = 13<br />
2x^2 - 2x - 12 = 0) dividing through by 2
(x^2 - x- 6 = 0; (x-3)(x-2) = 0 \Rightarrow x = 3 or -2 )
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