Area of a Rhombus

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Barbara Perez, 1/30/07, Created with GeoGebra

Use the slider to change the side lengths of the rhombus.

Use the sliders to reflect all four triangles.

Use point C to change the angles.

  1. What shape does the rhombus and the four triangles form?
  2. What is the length of the sides of the combined figure in terms of d1 and d2?
  3. Write a formula for the area of the combined figure in terms of d1 and d2.
  4. Write a formula for the area of rhombus ABCD in terms of d1 and d2.
    Hint: What is the relationship of the area of the rhombus to the area of the new figure?