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Definition--Triangle Concepts--Orthocenter of a Triangle

Orthocenter of a Triangle

Orthocenter of a Triangle

Topic

Triangles

Definition

The orthocenter of a triangle is the point where the three altitudes intersect.

Description

The orthocenter of a triangle is a significant point in geometry, representing the intersection of the triangle's three altitudes. Each altitude is a perpendicular line segment drawn from a vertex to the opposite side.

This concept is essential in various real-world applications, such as in design and engineering, where precise measurements and symmetry are crucial. For example, understanding the orthocenter helps in creating balanced and structurally sound designs.

In math education, learning about the orthocenter helps students understand the broader concepts of geometry and the properties of triangles. It also provides a foundation for more advanced topics, such as coordinate geometry and calculus. By mastering this concept, students can apply their knowledge to solve practical problems and develop a deeper understanding of geometric principles.

For a complete collection of terms related to functions and relations click on this link: Triangles Collection

Common Core Standards CCSS.MATH.CONTENT.4.G.A.1, CCSS.MATH.CONTENT.7.G.A.2, CCSS.MATH.CONTENT.4.G.A.2
Grade Range 4 - 8
Curriculum Nodes Geometry
    • Triangles
        • Definition of a Triangle
Copyright Year 2021
Keywords triangle, defnitions, glossary