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Definition--Triangle Concepts--Hypotenuse

Hypotenuse

Hypotenuse

Topic

Triangles

Definition

The hypotenuse is the longest side of a right triangle, opposite the right angle.

Description

The hypotenuse is a crucial concept in geometry, representing the longest side of a right triangle, opposite the right angle. The Pythagorean theorem relates the hypotenuse to the other two sides of the triangle: 

a2 + b2 = c2 

where c is the hypotenuse.

This concept is essential in various real-world applications, such as in construction and navigation. For example, in construction, the hypotenuse is used to calculate the diagonal distance between two points, ensuring accuracy and precision in building projects.

In math education, understanding the hypotenuse helps students grasp the broader concepts of right triangles and the Pythagorean theorem. 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 2013
Keywords triangle, defnitions, glossary