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What is the length of the hypotenuse of a right angle triangle whose sides add up to 17.5 with an area of 37.5 square cm showing work?
Wiki User
∙ 12y ago
Let the sides be x and y:-
x+y = 17.5 => y = 17.5-x
0.5*xy = 37.5 => xy = 75
x(17.5-x) = 75 => 17.5x-x2-75 = 0
Solving the above quadratic equation gives x postive values of 10 and 7.5
So the sides are 10 cm and 7.5 cm
Using Pythagoras' theorem the length of the hypotenuse works out as 12.5 cm
Wiki User
∙ 12y ago
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