In the plane rectangular coordinate system, s △ ABC = 48 ∠ ABC = 45 ° BC = 16, calculate the coordinates of each vertex of △ ABC A is on the positive half axis of Y axis B is on the negative half axis of X axis C is on the positive half axis of X axis

Because the area of triangle ABC is 48, the angle of 1 / 2Ab * BC * sin ABC = 48, 1 / 2 * 16 * AB * sin 45 = 48, so AB = 2 under 6 times the root sign. According to the Pythagorean theorem, the distance from the origin to B is the same as that from the origin to a, both of which are 6. Because BC = 16, the coordinates of point C are (10,0) the coordinates of point a are (0,6) and the coordinates of point B are (- 6,0)

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