A triangle has corners A, B, and C located at #(4 ,2 )#, #(3 ,4 )#, and #(6 ,8 )#, respectively. What are the endpoints and length of the altitude going through corner C?
1 Answer
Dec 2, 2017
Length of altitude (CD) passing through point C
Explanation:
Equation of side AB
Let Slope of side AB be ‘m’
Slope of perpendicular line to AB is
Eqn of Altitude(CD) to AB passing through point C is
Solving Eqns (1) & (2) we get the base of the altitude (CD) passing through point C.
Solving the two equations, we get
Length of the altitude passing through point C
Length of Altitude (CD) passing through point C = 4.4721#