6.1: Analyzing Heron’s Formula
Difficulty Level: At Grade
Created by: CK12
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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
A=12bh .  Consider Heron’s Formula,
A=s(s−a)(s−b)(s−c)−−−−−−−−−−−−−−−−−√
In
Press GRAPH.
WINDOW
 Describe the graph. Does it have any
x ory intercepts?
 In
Y2 , typeY2=12⋅3⋅4 or 6, the area of this triangle. Press GRAPH. Do the two functions intersect? If so, write the point(s) below.

Y1 is Heron’s formula witha=3 ,b=4 , andc=5 ands=x . What do the point(s) above tell us about this specific Heron’s formula? What do(x, y) 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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