SOLUTION: Is it possible to bend a 12 cm length of wire to form the legs of a right angled triangle with an area of 20 squared cm?

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Question 837800: Is it possible to bend a 12 cm length of wire to form the legs of a right angled triangle with an area of 20 squared cm?
Answer by richard1234(7193) About Me  (Show Source):
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Yes. The maximum area you can form is when the legs are both 6 cm (i.e. a right isosceles triangle), in which the area is . Since the area is a continuous function of the lengths at which you bend, you can form a right triangle with area 20 cm^2.