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AA1 is the median of the triangle ABC where A(2,2),B(6,-1),C(7,3).the equation the line parallel to AA1 and passing through (1,-1) is?
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AA1 is the median of the triangle ABC where A(2,2),B(6,-1),C(7,3).the ...
Calculation of Median AA1
To find the median AA1 of the triangle ABC, we need to find the midpoint of side BC, which we can do using the midpoint formula.
Midpoint of BC = ((6+7)/2, (-1+3)/2) = (6.5,1)
Now, the median AA1 passes through the point A(2,2) and the midpoint of BC(6.5,1). We can use this information to find the equation of the line AA1 using point-slope form.
Calculation of Equation of Line Parallel to AA1 and Passing Through (1,-1)
Since we know that the line we need to find is parallel to AA1, it will have the same slope as AA1. To find this slope, we can use the slope formula and the coordinates of points A and the midpoint of BC.
Slope of AA1 = (1-2)/(6.5-2) = -0.4
Now, we can use point-slope form to find the equation of the line parallel to AA1 and passing through (1,-1).
y - (-1) = -0.4(x - 1)
Simplifying this equation, we get:
y + 1 = -0.4x + 0.4
y = -0.4x - 0.6
Therefore, the equation of the line parallel to AA1 and passing through (1,-1) is y = -0.4x - 0.6.
Community Answer
AA1 is the median of the triangle ABC where A(2,2),B(6,-1),C(7,3).the ...
Eqn of median is 2x+9y-22=0...now prll to this line and passing through (1,-1)is 2x+9y+7=0...
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AA1 is the median of the triangle ABC where A(2,2),B(6,-1),C(7,3).the equation the line parallel to AA1 and passing through (1,-1) is?
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AA1 is the median of the triangle ABC where A(2,2),B(6,-1),C(7,3).the equation the line parallel to AA1 and passing through (1,-1) is? for Class 11 2024 is part of Class 11 preparation. The Question and answers have been prepared according to the Class 11 exam syllabus. Information about AA1 is the median of the triangle ABC where A(2,2),B(6,-1),C(7,3).the equation the line parallel to AA1 and passing through (1,-1) is? covers all topics & solutions for Class 11 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for AA1 is the median of the triangle ABC where A(2,2),B(6,-1),C(7,3).the equation the line parallel to AA1 and passing through (1,-1) is?.
AA1 is the median of the triangle ABC where A(2,2),B(6,-1),C(7,3).the equation the line parallel to AA1 and passing through (1,-1) is? for Class 11 2024 is part of Class 11 preparation. The Question and answers have been prepared according to the Class 11 exam syllabus. Information about AA1 is the median of the triangle ABC where A(2,2),B(6,-1),C(7,3).the equation the line parallel to AA1 and passing through (1,-1) is? covers all topics & solutions for Class 11 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for AA1 is the median of the triangle ABC where A(2,2),B(6,-1),C(7,3).the equation the line parallel to AA1 and passing through (1,-1) is?.
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