Display Title

Definition--Geometry Basics--Inscribed Triangle

Inscribed Triangle

Inscribed Triangle

Topic

Geometry Basics

Definition

A triangle drawn within another triangle, where each vertex touches the circumcircle.

Description

The inscribed triangle illustrates essential relationships between triangles and circles. Understanding this concept involves recognizing properties such as area calculations involving the circumcircle and relationships among various elements of triangles. The area can be found using the formula related to the circumradius and semi-perimeter, enhancing problem-solving skills and applying real-world considerations such as construction and design.

Inscribed Triangle
A tetrahedron on a circular rug.

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

Common Core Standards CCSS.MATH.CONTENT.HSG.C.A.2, CCSS.MATH.CONTENT.HSG.C.A.1, CCSS.MATH.CONTENT.HSG.C.A.3, CCSS.MATH.CONTENT.HSG.C.A.4
Grade Range 8 - 12
Curriculum Nodes Geometry
    • Circles
        • Definition of a Circle
Copyright Year 2020
Keywords trig ratios, trig identities