Question: (l) The points 1 +1, 5 + 2 3 and 2 + 3] form the vertices of a sealene triangle when located on an Argand

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(l) The points 1 +1, 5 + 2 3 and 2 + 3] form the vertices of a sealene triangle when located on an Argand diagram in the complex z-plane. Using the relation A: 2% L z'dz. where A is the area. C the contour traversed along the triangle perimeter, and z = I-l-jy determine the area of the triangle. Verify your answer by using the standard formula for the area of any triangle by calculating the length of its sides. (2) A circular arc of radius a subtends an angle of 0 at the origin of the coordinates in the complex z-plane. Using the formula given in problem # I. show that the area under the circular are is a'i, where 0 is measured in radians
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