A right triangle has area 30 ft and a hypotenuse that is 1 foot longer than one of its sides. (a) If x denotes the length of this side, then show that 2r + x? – 3600 = 0. (b) Show that there is a positive root of the equation in part (a) and that this root is less than 13. (c) Find the lengths of the sides of the triangle.

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