SOLUTION: What is the greatest possible area of a right triangle with a hyptenuse of 30 inches?

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Question 418392: What is the greatest possible area of a right triangle with a hyptenuse of 30 inches?
Answer by robertb(5830) About Me  (Show Source):
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The geometric figure giving the greatest possible area should be one-half of a square with diagonal measuring 30 inches. The sides should be 15sqrt%282%29 inches, and the area is %281%2F2%29%2A15sqrt%282%29%2A15sqrt%282%29=+15%5E2+=+225+in%5E2.