Use this worksheet to derive the formula for area of a rhombus.

Use the slider to change the side lengths of the rhombus. Use point C to change the angles.[br]Use the sliders to reflect all four triangles.[br]1. What shape does the rhombus and the four triangles form?[br]2. What is the length of the sides of the combined figure in terms of X and Y?[br]3. Write a formula for the area of the combined figure in terms of X and Y.[br]4. Write a formula for the area of rhombus ABCD in terms of X and Y. (Hint: What is the relationship of the area of the rhombus to the area of the new figure?)