Methodical recommendation:
Theory
| Number | Name | Description |
|---|---|---|
| 1. | Triangle inequality for sum of two sides | Let's learn the conditions for the sum of two sides of any triangle. |
| 2. | Triangle inequality for difference of two sides | Let's learn the conditions for difference of two sides of any triangle. |
Practice Questions
| Number | Name | Type | Difficulty | Marks | Description |
|---|---|---|---|---|---|
| 1. | TBQ - Rule for triangle existence | Other | easy | 3 m. | To learn about triangle existence |
| 2. | Verify and interpret | Other | easy | 3 m. | To verify if the given lengths form a triangle and interpret your answer. |
| 3. | TBQ - Does the triangle exist? | Other | easy | 2 m. | To learn the rules of formation of triangles |
| 4. | Check if it is possible to form a triangle with the given sides | Other | medium | 3 m. | Check whether the given sides forms a triangle with the help of triangle inequality. |
| 5. | Find out the least value of a unknown side | Other | medium | 4 m. | Estimate the least value of unknown side uisng triangle inequality and mark it. |
| 6. | Find the length of third side | Other | medium | 4 m. | Practice the problem on side of a triangle and find the possible interval of thrid length. |
| 7. | TBQ - Existence of equilateral triangle | Other | medium | 4 m. | To verify the existence of equilateral triangle |
| 8. | Can a triangle be formed with the given sides? | Other | hard | 5 m. | This exercise is to check your knowledge about properties of triangle. |
| 9. | CBQ - Calculate the possible distance between the flat | Other | hard | 5 m. | Calculate the posssible direct distance between the flats using triangle inequality. |
| 10. | TBQ - Verify the existence of triangle geometrically | Other | hard | 5 m. | To verify whether the triangle exists |