Showing posts with label area of a triangle. Show all posts
Showing posts with label area of a triangle. Show all posts

Monday, January 9, 2012

Area of Triangles Under a Curve

Given: Right triangle BCD whose hypotenuse is tangent to the function f(x) = a/x

Sorry, the GeoGebra Applet could not be started. Please make sure that Java 1.4.2 (or later) is installed and active in your browser (Click here to install Java now)

  1. Move slider and observe what happens? How is the appearance of the graph relate to a?
  2. Move point A and observe the triangle? What do you observe?
  3. What conjecture can you make based on your observation in 2. Prove your conjecture. 

Friday, May 27, 2011

Triangles and Quadrilaterals

Given
ABC is a triangle with base b and height h. Points D and E are midpoints of AB and BC, respectively.


Instructions
1. Move the slider h to determine the height of the triangle.
2. Move points A, B, and C to choose the shape of the triangle.
3. Move the circle in slider t to the extreme right transform the triangle into a quadrilateral.
4. Click check box to hide the triangle.


Sorry, the GeoGebra Applet could not be started. Please make sure that Java 1.4.2 (or later) is installed and active in your browser (Click here to install Java now)

Questions
1.) After moving slider t, what type of quadrilateral is formed?
1.) What is the relationship between the area of the triangle and the area of the quadrilateral?
2.) Find the area of the triangle in terms of b and h.
3.) Find the area of the quadrilateral in terms of b and h.

Download Applet