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I know how to do this problem but my method takes forever....there has to be a faster way to do it:
you have 3 points with cordinates A =(3,-6), B=(1,1), and C=(7,6). What is the area of the triangle ABC?
I first found the equation of the line that's perpindicular to AC that goes through B. Then I figured out where the perpindicular line intersects AC, lets call that point D. Then found the distance between point B and D. That gave me the height of the triangle. Then I found the length of the line AC which gave me the base of the triangle.
I know my method works but is there a shortcut?
you have 3 points with cordinates A =(3,-6), B=(1,1), and C=(7,6). What is the area of the triangle ABC?
I first found the equation of the line that's perpindicular to AC that goes through B. Then I figured out where the perpindicular line intersects AC, lets call that point D. Then found the distance between point B and D. That gave me the height of the triangle. Then I found the length of the line AC which gave me the base of the triangle.
I know my method works but is there a shortcut?
