Area of a Kite - Exploration
Use sliders a and b to change the side lengths of the kite. Use the sliders to rotate all four triangles.
1. What shape does the kite 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 kite ABCD in terms of d1 and d2. (Hint: What is the relationship between the area of the original kite and the area of the new figure formed by rotating the triangles?)