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The hypotenuse of a right-angled triangle is 1 metre less than twice the shortest side. If the third side is 1 metre more more than the shortest side, find the sides of the triangle.

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Correct Answer - 3 m, 4 m, 5 m
Let the shortest side be x metres.
Then, its hypotenuse `=(2x-1)m" and third side "=(x+1)m.`
`:." "(2x-1)^(2)=x^(2)+(x+1)^(2)implies2x^(2)-6x=0implies2x(x-3)=0.`

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