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Question 1 - Think & Reflect (Page 134) - Area of a Triangle - Chapter 6 Class 9 - Measuring Space: Perimeter and Area (Ganita Manjar
Last updated at May 31, 2026 by Teachoo
Class 9
Chapter 6 Class 9 - Measuring Space: Perimeter and Area (Ganita Manjar
- Definition (and Quesitons)
- Perimeter of Different Shapes
- Perimeter of a Circle - C/D Ratio
- Pi is Irrational
- Length of an Arc of a Circle
- Problems, Puzzles, and Paradoxes on Perimeter
- Exercise Set 6.1
- Area of Square & Rectangle
- Area of a Parallelogram
-
Area of a Triangle
- Heron's Formula
- Circumcircle and Incircle of a Triangle
- Brahmagupta’s Formula for the Area of a Cyclic 4-gon
- Squaring a Rectangle
- Exercise Set 6.2
- Area of a circle
- Exercise Set 6.3
- End-of-Chapter Exercises
Transcript
Question 1 - Think & Reflect (Page 134) Suppose we are given two polygons P and Q with equal area. Will it always be possible to divide one of them using straight cuts into two or more pieces and then rearrange the pieces to exactly cover the other polygon? Try this out for familiar shapes, e.g., 1. A square and non-square rectangle with equal area, 2. Two triangles with different shapes but equal area, 3. A triangle and a square with equal area. Formulate a conjecture of your own about this. Yes. Our conjecture should be: "Any two straight-sided shapes (polygons) that have the exact same area can be cut into a finite number of straight pieces and rearranged into each other." Let’s try out the shapes given in our question A square and non-square rectangle with equal area A triangle and a square with equal area
