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Copy of Area of a Kite - Exploration

Use this worksheet to find the area of a kite.

Use sliders a and b to change the side lengths of the kite. Use the sliders to rotate all four triangles.

1. What new shape does the kite and the four triangles form?

Zde označte odpověď(i)
  • A
  • B
  • C
  • D
Zkontrolovat mou odpověď (3)

2. What is the length and the width of the combined figure in terms of d1 and d2?

Zde označte odpověď(i)
  • A
  • B
  • C
  • D
Zkontrolovat mou odpověď (3)

3. Write a formula for the area of the combined figure in terms of d1 and d2.

Zde označte odpověď(i)
  • A
  • B
  • C
  • D
Zkontrolovat mou odpověď (3)

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?)

Zde označte odpověď(i)
  • A
  • B
  • C
  • D
Zkontrolovat mou odpověď (3)