Edge Length

Edge length refers to the measurement of the distance between two vertices of a geometric shape, typically a polyhedron. A polyhedron is a three-dimensional shape with flat faces and straight edges. The edge length is crucial in determining the size and dimensions of the polyhedron.

Calculating Edge Length

To calculate the edge length of a polyhedron, you can use the distance formula from coordinate geometry. If the vertices of the polyhedron are given as coordinates in three-dimensional space, you can use the distance formula to find the length of the line segment connecting two vertices. The distance formula is:

d = √[(x₂ - x₁)² + (y₂ - y₁)² + (z₂ - z₁)²]

where (x₁, y₁, z₁) and (x₂, y₂, z₂) are the coordinates of the two vertices, and d is the distance between them.

Study Guide

Here are the key points to remember about edge length:

1. Edge length is the distance between two vertices of a polyhedron.
2. It is crucial in determining the size and dimensions of the polyhedron.
3. The distance formula from coordinate geometry can be used to calculate the edge length when the coordinates of the vertices are given.
4. The distance formula in three dimensions is: d = √[(x₂ - x₁)² + (y₂ - y₁)² + (z₂ - z₁)²]

Understanding the concept of edge length is essential for working with three-dimensional shapes and applying geometric principles to real-world problems.

[Edge Length] Related Worksheets and Study Guides:

• ShapesMathematics • Kindergarten