A triangle has corners A, B, and C located at #(4 ,7 )#, #(3 ,2 )#, and #(2 ,4 )#, respectively. What are the endpoints and length of the altitude going through corner C?
1 Answer
Oct 7, 2017
End points of altitude CD
Length of altitude CD =13.39#
Explanation:
Equation of AB is obtained using coordinates of A & B
Slope of AB
Slope of Altitude to line AB and passing through point C be m2.
Equal of Altitude passing through point C is
Solving equations of AB & Altitude through C gives base of altitude point D.
Adding (1) & (2),
Coordinates of point D(-7,97/26)
Length of altitude CD is