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Mathematics, 13.08.2020 07:01, orose6395
Finding the area of a triangle is straightforward if you know the length of the base and the height of the triangle. But is it possible to find the area of a triangle if you know only the coordinates of its vertices? In this task, you’ll find out. Consider ΔABC, whose vertices are A(2, 1), B(3, 3), and C(1, 6); let line segment AC represent the base of the triangle. A. Find the equation of the line passing through B and perpendicular to AC? B. Let the point of intersection of AC with the line you found in part A be point D. Find the coordinates of point D? C. Use the distance formula to find the length of the base and the height of ΔABC? D. Find the area of ΔABC?
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Answers: 3
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