# Calculus

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A right triangle with hypotenuse y and equal legs of size x has a perimeter of 36m. Express the area of the triangle solely in terms of the hypotenuse y.

• Calculus -

y^2 = x^2 + x^2 = 2x^2

area = 1/2 x*x = 1/2 x^2 = 1/2(y^2/2) = y^2/4

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