Practice - Orthocenter (H)
Enroll to start learning
You’ve not yet enrolled in this course. Please enroll for free to listen to audio lessons, classroom podcasts and take practice test.
Practice Questions
Test your understanding with targeted questions
What is the orthocenter of a triangle?
💡 Hint: Think about the altitudes and where they meet.
In which type of triangle is the orthocenter located at a vertex?
💡 Hint: Consider the properties of right angles.
4 more questions available
Interactive Quizzes
Quick quizzes to reinforce your learning
Where is the orthocenter located in an acute triangle?
💡 Hint: Think about the angles of the triangle.
True or False: The orthocenter can be located outside the triangle in every type of triangle.
💡 Hint: Review the definitions of acute, right, and obtuse triangles.
2 more questions available
Challenge Problems
Push your limits with advanced challenges
In triangle XYZ, with coordinates X(2, 3), Y(6, 3), and Z(4, 8), find the coordinates of the orthocenter by calculating the altitudes from each vertex.
💡 Hint: Start by determining the slopes and equations of the lines formed by the triangle's vertices.
Demonstrate how the orthocenter's location affects the triangle's properties and provide a proof that in any triangle the orthocenter will always relate to the centroid and circumcenter on Euler's line.
💡 Hint: Use coordinate geometry as a basis to establish proofs with calculated distances and angles.
Get performance evaluation
Reference links
Supplementary resources to enhance your learning experience.