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Mathematics, 04.06.2021 07:40 courtlyn8
WILL GIVE BRAINLEST!!
Finding the area of a triangle is stralghtforward if you know the length of the base and the helght 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 /_\ABC, whose vertices
are A(2, 1), B(3, 3), and C(1,6); let line segment AC represent the base of the triangle.
Part A
Find the equation of the line passing through B and perpendicular to AC.
Part B
Let the point of intersection of AC with the line you found in part A be point D. Find the coordinates of point B.
Part C
Use the distance formula to find the length of the base and the height of /_\ABC.
Part D
Find the area of /_\ABC.
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Answers: 2
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