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Size: 177 KB

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Categories:

  1. Home Study
  2. Visualization
  3. Class or Laboratory

Subjects:

  1. Geometry
  2. Polynomial Algebra
  3. Differentiation
  4. Factorization
  5. Maxima / Mimima
  6. Vectors
  7. Trigonometric Functions

 

 

Title: Heron's Formula

Book Description: This 13-page WorkBook explores the geometry behind Heron's formula for the area of a triangle in terms of its sides. The formula may be understood by asking which quadrilateral with assigned side lengths has the largest area. This exploration allows the reader to vary the shape of the quadrilaterals to discover the surprising answer, and thereby, to discover Heron's formula.

Author: James White

Suggested Use: Learn an interesting application of differentiation for geometry.

Topics: geometry, Heron's formula, triangles, optimization, extrema

Number of Pages: 13

Animation: Yes

Grade Level:

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