Definition--Geometry Basics--Pythagorean Theorem
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Geometry >> Triangles >> Right Triangles

Definition--Geometry Basics--Pythagorean Theorem

Pythagorean Theorem

Pythagorean Theorem

Topic

Geometry Basics

Definition

The Pythagorean theorem states that in a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides.

Description

This theorem is foundational in geometry and is applicable in various real-life situations such as architecture, construction, and navigation. It can be expressed mathematically as 

a2 + b2 = c2

where c is the length of the hypotenuse, while a and b are the lengths of the other two sides. The Pythagorean theorem serves as a gateway to understanding more complex concepts in trigonometry and reveals how basic geometrical principles are vital across numerous practical applications.

Pythagorean Theorem
The sum of the areas of the smaller squares 
is equal to the area of the large square.

For a complete collection of terms related to Geometry Basics click on this link: Geometry Basics Collection

Common Core Standards CCSS.MATH.CONTENT.HSG.SRT.D.10, CCSS.MATH.CONTENT.HSG.SRT.D.11, CCSS.MATH.CONTENT.HSG.SRT.C.6, CCSS.MATH.CONTENT.HSG.SRT.C.7, CCSS.MATH.CONTENT.HSF.TF.C.9, CCSS.MATH.CONTENT.HSF.TF.C.8
Grade Range 8 - 12
Curriculum Nodes Geometry
    • Triangles
        • Right Triangles
Copyright Year 2022
Keywords definition, geometry