A right triangle has area 30 ft2 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 2x3 + x2−3600 = 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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