SOLUTION: I need to find out how to find the orthocenter with the given vertices of M(-5,0), N (0,14) O(0,0) I already graphed it. I don't know HOW to find the orthocenter of a triangle, o
Algebra ->
Triangles
-> SOLUTION: I need to find out how to find the orthocenter with the given vertices of M(-5,0), N (0,14) O(0,0) I already graphed it. I don't know HOW to find the orthocenter of a triangle, o
Log On
Question 700643: I need to find out how to find the orthocenter with the given vertices of M(-5,0), N (0,14) O(0,0) I already graphed it. I don't know HOW to find the orthocenter of a triangle, or what an orthocenter even is. Thanks! Answer by solver91311(24713) (Show Source):
The orthocenter is the intersection of the altitudes.
Since you have a right triangle, use the fact that all right triangles have an orthocenter coincident with the right angle vertex. (Because the two legs are altitudes.)
In general though, you would:
1. Use the slope formula determine the slope of one side of the triangle.
2. Use the point-slope form and the fact that perpendicular lines have negative reciprocal slopes to write an equation of a line perpendicular to side chosen for step 1 that passes through the not-included vertex.
3. Repeat steps 1 and 2 for one of the other sides.
4. Solve the system of equations consisting of the equations derived in steps 2 and 3. The solution set will be the orthocenter.
John
Egw to Beta kai to Sigma
My calculator said it, I believe it, that settles it
