# 6.1: Analyzing Heron’s Formula

Difficulty Level:

**At Grade**Created by: CK-12
*This activity is intended to supplement Trigonometry, Chapter 5, Lesson 2.*

## Problem 1 - Consider a 3, 4, 5 right triangle.

- Draw the triangle.
- Find the area using .
- Consider Heron’s Formula,

In , plug into . Zoom in by changing the window. Press **WINDOW** and change the parameters to the right.

Press **GRAPH.**

WINDOW

- Describe the graph. Does it have any or intercepts?

- In , type or 6, the area of this triangle. Press
**GRAPH.**Do the two functions intersect? If so, write the point(s) below.

- is Heron’s formula with , , and and . What do the point(s) above tell us about this specific Heron’s formula? What do represent?

## Problem 2

**Repeat the steps from Problem 1 with the triangle below.**

Are your findings the same?

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## Date Created:

Feb 23, 2012## Last Modified:

Nov 04, 2014
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