Study Notes
Pythagoras' Theorem is used to find the length of a side in a right-angled triangle.
- Pythagoras' Theorem — In a right-angled triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides. Example: If one side is 8 and the hypotenuse is 9, then the other side is or approximately 4.12.
Exam Tips
Key Definitions to Remember
- The hypotenuse is the longest side of a right-angled triangle.
- Pythagoras' Theorem: , where is the hypotenuse.
Common Confusions
- Confusing which side is the hypotenuse.
- Forgetting to take the square root after finding .
Typical Exam Questions
- What is the length of the hypotenuse if the other sides are 3 and 4? Answer: 5
- If one side is 5 and the hypotenuse is 13, what is the length of the other side? Answer: 12
- How do you find a missing side in a right-angled triangle using Pythagoras' Theorem? Answer: Use and solve for the missing side.
What Examiners Usually Test
- Ability to correctly apply Pythagoras' Theorem.
- Understanding which side is the hypotenuse.
- Correct calculation and simplification of square roots.