Ononot — In a right triangle ABC with the right angle at C, the lengt

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Euclidean 2Dmedium

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In a right triangle $ABC$ with the right angle at $C$ , the lengths of the sides are $a$ and $b$ , and the hypotenuse is $c$ . If $a + b = 17$ and the area of the triangle is $30$ , what is the perimeter of the triangle?