A triangle has corners A, B, and C located at #(1 ,1 )#, #(6 ,8 )#, and #(7 ,4 )#, respectively. What are the endpoints and length of the altitude going through corner C?
1 Answer
Endpoint:
Height:
Explanation:
Here is a graph.
What we want to know is the endpoint(
[Step1: determine the line
The slope of line
[Step2: determinte the line
If the two lines with slope
Thus, the slope of line CH is
Its equation is
[Step3: calculate the endpoint and height]
Solving the system equations
and the endpoint
The length of CH is calculated below: