Grade 8 Exam > Grade 8 Videos > Mathematics for Grade 8 > Examples: Pythagoras Theorem- 2
Examples: Pythagoras Theorem- 2 Video Lecture | Mathematics for Grade 8
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FAQs on Examples: Pythagoras Theorem- 2 Video Lecture - Mathematics for Grade 8
| 1. What is the Pythagoras theorem? |  |
Ans. The Pythagoras theorem states that in a right-angled triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides.
| 2. Who discovered the Pythagoras theorem? | |
Ans. The Pythagoras theorem is named after the Greek mathematician Pythagoras, who is credited with its discovery. However, it is believed that the theorem was known to the Babylonians and Egyptians even before Pythagoras.
| 3. How can the Pythagoras theorem be applied in real life? | |
Ans. The Pythagoras theorem has numerous applications in real life. It is used in construction to ensure that buildings are square and level. It is also used in navigation to calculate distances and bearings. Additionally, the theorem is used in various fields such as engineering, architecture, and surveying.
| 4. Can the Pythagoras theorem be applied to any triangle? | |
Ans. No, the Pythagoras theorem can only be applied to right-angled triangles. A right-angled triangle has one angle measuring 90 degrees, and the theorem relates the lengths of the sides in such triangles.
| 5. How can the Pythagoras theorem be proved? | |
Ans. The Pythagoras theorem can be proved using different methods, including algebraic proofs, geometric proofs, and even visual proofs. One of the most common geometric proofs involves dividing a square into four right-angled triangles and rearranging them to form a smaller square, demonstrating that the areas of the squares on the sides are equal to the area of the square on the hypotenuse.
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