The hypotenuse of a right triangle is \( 3 \sqrt{10} \mathrm{~cm} \). If the smaller leg is trip...

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The hypotenuse of a right triangle is \( 3 \sqrt{10} \mathrm{~cm} \). If the smaller leg is tripled and the longer leg doubled, new hypotenuse will be \( 9 \sqrt{5} \) cm. How long are the legs of the triangle?
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