What is the orthocenter of a triangle with corners at #(4 ,1 )#, #(7 ,4 )#, and (3 ,6 )#?
3 Answers
The trick to this little problem is to find the slope between two points from there find the slope of perpendicular line which simply given by:
1)
2) find the equation of line that passes through the angle opposite the original line for you case give: A(4,1), B(7, 4) and C(3,6)
step1:
Find the slope of
To get the equation of line write:
step2
Find the slope of
To get the equation of line write:
Now equate
Solve for =>
Insert
The trick to this little problem is to find the slope between two points from there find the slope of perpendicular line which simply given by:
1)
2) find the equation of line that passes through the angle opposite the original line for you case give: A(4,1), B(7, 4) and C(3,6)
step1:
Find the slope of
To get the equation of line write:
step2
Find the slope of
To get the equation of line write:
Now equate
Solve for =>
Insert
Orthocenter(16/2, 11/3)
Explanation:
The trick to this little problem is to find the slope between two points from there find the slope of perpendicular line which simply given by:
1)
2) find the equation of line that passes through the angle opposite the original line for you case give: A(4,1), B(7, 4) and C(3,6)
step1:
Find the slope of
To get the equation of line write:
step2
Find the slope of
To get the equation of line write:
Now equate
Solve for =>
Insert