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Qing dynasty mathematics volume
Solution: (1) When S= 150,

So the three sides of the triangle are 3×5= 15, 4×5=20 and 5×5=25 respectively.

(2) Correct

Let the lengths of the three sides of a right triangle be 3k, 4k and 5k respectively.

So S=

So k=

So the lengths of the three sides are.

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