A triangle has corners A, B, and C located at #(4 ,8 )#, #(7 ,4 )#, and #(5 ,3 )#, respectively. What are the endpoints and length of the altitude going through corner C?
1 Answer
Jun 24, 2016
End points of the altitude are
Length of altitude
Explanation:
Let CD be the altitude drawn from C perpendicular to side AB touches at D of side AB.
Slope of line AB is
Now solving equation (1) & equation (2) we find the co-ordinate of poin D.
subtracting (3) from (4) we get
Length of altitude