A triangle has corners A, B, and C located at (2 ,7 ), (1 ,4 ), and (6 , 3 ), respectively. What are the endpoints and length of the altitude going through corner C?
1 Answer
See explanation.
Explanation:
Slope of the line joining AB is
Hence the slope of the line perpendicular to AB will be
And since this line passes through c, it's equation will be
x+3y=15
On solving this line with the equation of AB
(3x-y+1=0)
We get
Now by applying distance formula between this point and C we can find the length of the altitude.
"Length" = sqrt( ( 29/6)^2 + (3/2)^2 )
You can solve this yourself.