What is the orthocenter of a triangle with corners at (4 ,9 ), (3 ,7 ), and (1 ,1 )#?
1 Answer
Orthocenter of the triangle is at
Explanation:
Orthocenter is the point where the three "altitudes" of a triangle meet. An "altitude" is a line that goes through a vertex (corner point) and is at right angles to the opposite side.
Slope of
Slope of perpendicular
Equation of line
Slope of
Slope of perpendicular
Equation of line
Solving equation(1) and (2) we get their intersection point , which is the orthocenter.
Putting
Orthocenter of the triangle is at