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Heron's Formula

Activity Overview

Students use Heron's formula as a functional module and calculate the area of triangles given their sides.

Before the Activity

  • See the attached PDF file for detailed instructions for this activity
  • Print pages 1 - 6 from the attached PDF file for the class

    • During the Activity

    Distribute the pages to the class.

    Follow the Activity procedures:

  • Study Heron's formula for the area of a triangle and store it as a function
  • Calculate the area of a right triangle with given sides
  • Calculate the area of other triangles and interpret the possible error messages
  • Investigate the proof of Heron's formula
  • Determine the area of a trapezoid with given sides and define a general function
  • Draw the function and determine an approximate domain and range
  • Solve the category C1 exam questions provided on the activity sheet

    • After the Activity

    Students complete the exercises listed on the activity pages.

    Review student results.

  • As a class, discuss questions that appeared to be more challenging
  • Re-teach concepts as necessary

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