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Pythagoras Theorem: Geometry Video Lecture | CSAT Preparation - UPSC

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FAQs on Pythagoras Theorem: Geometry Video Lecture - CSAT Preparation - UPSC

1. What is the Pythagoras theorem?
Ans. The Pythagoras theorem is a fundamental principle in geometry that 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. How can the Pythagoras theorem be used in real-life applications?
Ans. The Pythagoras theorem has numerous practical applications in various fields such as construction, engineering, navigation, and physics. It can be used to calculate distances, determine the length of diagonals, solve problems related to right-angled triangles, and more.
3. Can the Pythagoras theorem be applied to non-right-angled triangles?
Ans. No, the Pythagoras theorem is only applicable to right-angled triangles. It does not hold true for non-right-angled triangles, as the relationship between the sides is different.
4. How can the Pythagoras theorem be proved?
Ans. The Pythagoras theorem can be proved using different methods, such as geometric proofs, algebraic proofs, and even visual demonstrations. One of the most common geometric proofs involves dividing a square into smaller squares and rearranging them to form the three sides of a right-angled triangle.
5. Are there any variations of the Pythagoras theorem?
Ans. Yes, there are several variations of the Pythagoras theorem. Some of them include the converse of the Pythagoras theorem (if the square of the length of the hypotenuse is equal to the sum of the squares of the other two sides, then the triangle is right-angled), and the generalized Pythagoras theorem (which applies to higher dimensions). These variations extend the applicability of the theorem to different scenarios.
214 videos|139 docs|151 tests

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