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.
- 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?
Repeat the steps from Problem 1 with the triangle below.
Are your findings the same?