Another way of defining the shape functions at an arbitrary point (x, y) in a finite element

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Another way of defining the shape functions at an arbitrary point (x, y) in a finite element is using the areas A1,A2, and A3 shown in Figure. Show thatimage?k = Ak/A, k = 1, 2, 3Where A = A, + A2 + A3 is the total area of the triangular element.

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