A triangle has corners A, B, and C located at #(2 ,7 )#, #(3 ,5 )#, and #(9 , 4 )#, respectively. What are the endpoints and length of the altitude going through corner C?
1 Answer
Explanation:
Find the equation of line AB
We know that
plugging in values we get
perpemdicular from C would either be on AB or AB extended.
equation of line perpendicular to this can be found using
SO,
now equation looks like
we need to find end points of altitude from C, one can be easily found or say it is known , it is co-ordinates of C itself that is
to find other end co-ordimates , solve the to 2 equations that we got represented in green color , i am leaving that part to be solved by you . however i would give answer that is