A triangle has corners A, B, and C located at #(3 ,1 )#, #(6 ,4 )#, and #(9 ,8 )#, respectively. What are the endpoints and length of the altitude going through corner C?
1 Answer
- First find the line
#AB# - Then find the line
#l# perpendicular to#AB# (the line of altitude) such that it intersects with point#C# - Then find the point
#D# at which#l# intersects with#AB# - Then use the distance formula with the points
#C# and#D# to get the distance of the altitude.
See if you can do it step by step. If not, keep on reading.
Step 1
Find the equation for
Segment
Step 2
Find line
Now that we have
Step 3
Find point
So
So #D = (9.5,7.5)
Step 4
Find the distance of
Hm.. the answer doesn't look quite right. Whoops.