Deriving formula for area of a kite

From Karnataka Open Educational Resources
  • Estimated Time : 30 minutes.
  • Materials/ Resources needed: Laptop, geogebra file, projector and a pointer.
  • Prerequisites/Instructions, if any
  1. Basics of a triangle and kite should have been done.
  • Multimedia resources: Laptop
  • Website interactives/ links/ / Geogebra Applets
  • Process:
  1. The teacher can project the geogebra file on kite.
  2. Show them that a kite is made of two isosceles traingles.
  3. Sum of areas of these two triangles would be the area of the kite.
  • Developmental Questions
  1. What is a kite ?
  2. What are the properties of a kite.
  3. What other figures can you see in a kite ?
  4. What types of triangles are these ?
  5. Identify the two isosceles triangles ?
  6. What is the formula to find the area of a triangle ?
  • Evaluation:
  1. Choosing which two traingles out of the 8 visible types would be easy to deduce the area of kite ?
  • Question Corner:
  1. Recall the two formulae that you know to find the area of a triangle.