Definition

The point where the three heights of a triangle meet.

Example

In geometry class, we learned that the orthocenter is an important point in triangle construction.

Conversation

Have you ever heard of the term orthocenter in geometry?

Yeah, I think it's the point where all the altitudes of a triangle meet, right?

Exactly! It's pretty fascinating how it works in different types of triangles.

I know, right? Geometry can be really interesting when you dive into these concepts.

Synonyms & Antonyms

Root Explanation

Orthocenter → It is formed from "ortho-" (from Greek "orthos", meaning straight or correct) and "center" (from Latin "centrum", meaning the middle point). The word "orthocenter" refers to the point where the altitudes of a triangle intersect, thus representing a 'correct' or 'straight' center of the triangle.

Memory Tip

Think of 'straight' ('ortho-') leading to the 'middle point' ('center') of a triangle, which helps you remember that the orthocenter is the point where all the heights meet.

Visually Confused Words