A triangle has corners A, B, and C located at #(7 ,1 )#, #(4 ,3 )#, and #(5 ,8 )#, respectively. What are the endpoints and length of the altitude going through corner C?
1 Answer
Feb 7, 2018
End points of the altitude C (5,8), D (31/13, 53/13)#
Length of altitude
Explanation:
Slope AB #m_(AB) = (3-1) / (4-7) = -2/3
Slope of CD perpendicular to AB
Equation of line segment AB
Equation of altitude CD through point C is
Solving Eqns (1), (2) we get the coordinates of D, base of altitude CD.
Length of altitude