Princeton Review

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Definition--Triangle Concepts--Triangle Height

Triangle Height

Triangle Height

Topic

Triangles

Definition

The height of a triangle is the perpendicular distance from a vertex to the line containing the opposite side, often used interchangeably with altitude.

Description

The height of a triangle, often used interchangeably with altitude, is a crucial concept in geometry. It represents the perpendicular distance from a vertex to the line containing the opposite side. This measurement is essential for calculating the area of a triangle, using the formula: 

Area= 1/2 ​× base × height

In real-world applications, the concept of height is used in various fields, including construction, engineering, and design. For example, understanding the height of a triangle helps in determining the dimensions and stability of triangular components in structures.

In math education, learning about the height of a triangle helps students understand the broader concepts of geometry and measurement. It also provides a foundation for more advanced topics, such as trigonometry 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