What is the largest possible area for a triangle whose hypotenuse is 5cm. long?
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Originally Posted by Cacia What is the largest possible area for a triangle whose hypotenuse is 5cm. long? Since it has a hypotenuse, we'll assume that it's right-angled. Call the base of the triangle , then the height must be by Pythagoras. So the area is . Differentiate this, set the derivative equal to 0, solve for x, then evaluate the area at this value of x.
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