Discovering Area of a Triangle

This interactive applet facilitates discovery of the area of triangle by using sliders to explore the area of triangle as it relates to a corresponding rectangle.[br][br]Objectives[br]G-3.2 Carry out a procedure to compute the area of a triangle.[br]G-3.3 Analyze how changes in dimensions affect the perimeter or area of triangles
Discovering Area of a Triangle
Exploring Area of a Triangle[br][br]1. Click the show/hide triangle box to hide the triangle. Move the sliders to a desired number and calculate the area of the rectangle (see area listed on the left). [br]2. Click the show/hide boxes to show the triangle and hide the rectangle. Notice the area of the triangle listed as well as the length of the base and height.[br]3. Use the sliders to change the lengths and record all information in the table below:[br][br]Length of Base Height Area of Rectangle Area of Triangle[br] [br] [br] [br] [br] [br] [br] [br][br]1. What do you notice about the relationship of the areas of the rectangle and triangle?[br][br][br]2. Write separate formulas for the area of a rectangle and area of a triangle:[br][br][br]3. What would the area of 2 triangle be? How does it relate to the rectangle?

Information: Discovering Area of a Triangle