✔ Square 6 and 8 to get 36 and 64. Sum is 100. Square root of 100 is 10.
Q2. Which set forms a right triangle?
✔ Only 3 squared plus 4 squared equals 5 squared. Others do not satisfy the theorem.
Q3. What is the main mistake in finding c?
✔ Students often calculate a squared plus b squared but forget to take the final square root.
Show transcript
[Slide 1] Understanding Right Angled Triangles
Imagine a right-angled triangle with squares on its sides. The area of the square on the longest side equals the sum of the other two. This relationship helps us find missing lengths easily.
[Slide 2] Pythagoras Theorem Statement
In any right triangle, the square of the hypotenuse equals the sum of squares of legs. Remember, c represents the side opposite the ninety-degree angle. This is your primary tool for calculations.
[Slide 3] Solving a Real Problem
Let's find the hypotenuse when legs are three and four. Square both numbers to get nine and sixteen. Add them to get twenty-five, then take the square root.
[Slide 4] Avoid This Common Error
Students often stop at twenty-five instead of finding five. Always identify the longest side as c before starting. Forgetting the square root gives wrong answers.
[Slide 5] The Converse Theorem
The converse works backwards to check for right angles. If the sum of squares matches the largest side squared, it is a right triangle. This confirms the angle without measuring.
[Slide 6] Key Takeaways Summary
Remember this theorem applies strictly to right-angled triangles. Always identify the hypotenuse correctly before calculating. Practice these steps to ace your board exams.