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Find all sides of a right triangle whose perimeter is equal to 60 cm and its area is equal to 150 square cm. A.x + y + H = 60 : perimeter , x, y and H be the two legs and the hypotenuse of the right triangle B.(1/2)xy = 150 : area C.x2 + y2 = H2: Pythagora's theorem. D.3 equations with 3 unknowns. E.(x + y)2 - 2xy = H2 : completing the square in the third equation. F.x + y = 60 - H : express x + y using the first equation and use the second equation to find xy = 300 and substitute in equation 5. G.(60 - H)2 - 600 = H2 : one equation with one unknown.
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