Area of a Rhombus
- Author:
- ckjaeger, GeoGebra Materials Team
Use this worksheet to derive the formula for area of a rhombus.
d1= = the length of the red diagonal
d2 = the length of the blue diagonal
Use the slider to change the side lengths of the rhombus. Use point C to change the angles.
Use the sliders to reflect all four triangles.
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?)