How to find coordinates of orthocenter?
Understand the Problem
The question is asking how to determine the coordinates of the orthocenter of a triangle. The orthocenter is the point where the three altitudes of a triangle intersect, and finding its coordinates involves using the triangle's vertices and the equations of the altitudes.
Answer
The coordinates of the orthocenter are found by solving the equations of the altitudes.
The final answer is the coordinates of the orthocenter obtained by solving the equations.
Answer for screen readers
The final answer is the coordinates of the orthocenter obtained by solving the equations.
More Information
The orthocenter is the point where the three altitudes of a triangle intersect. For an acute triangle, it lies inside; for an obtuse, it lies outside.
Tips
A common mistake is inaccurately calculating the slopes or solving the system of equations incorrectly. Double-check calculations to avoid errors.
Sources
- How to find orthocenter – an example - omnicalculator.com
- How To Find Orthocenter of a Triangle - 4 Easy Steps - tutors.com
- How to Find Orthocenter of a Triangle - geeksforgeeks.org
