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How do you find the sides of a right triangle whose hypotenuse is 19.5 with a perimeter of 45 and an area of 67.5 square cm?
Wiki User
∙ 12y ago
Let the sides be x and y:-
Perimeter: x+y+19.5 = 45 => y = 45-19.5-x => y = 25.5-x
Area: 1/2*x*y = 67.5 => x*y = 135
So: x(25.5-x) =135 => 25.5x-x2-135 = 0
Solving: 25.5x-x2-135 = 0 by means of the quadratic equation formula gives x positive values of 18 and 7.5
Therefore the sides of the right angle triangle are: 18 cm and 7.5 cm
Wiki User
∙ 12y ago
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What is the perimeter of a right angle triangle that has an hypotenuse of 16.25 cm and an area of 46.875 square cm?
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