Class 10 Exam > Class 10 Videos > 08 - Pythagoras Theorem (activity) - Class 10 - Maths
08 - Pythagoras Theorem (activity) - Class 10 - Maths Video Lecture
FAQs on 08 - Pythagoras Theorem (activity) - Class 10 - Maths Video Lecture
| 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 other two sides.
| 2. How can the Pythagoras theorem be applied to solve real-life problems? | |
Ans. The Pythagoras theorem can be applied in various real-life situations, such as calculating the distance between two points in a coordinate plane, determining the length of a diagonal in a rectangle or a square, or finding the height of a building using a clinometer.
| 3. Can the Pythagoras theorem be used in non-right-angled triangles? | |
Ans. No, the Pythagoras theorem is only applicable to right-angled triangles. In non-right-angled triangles, other trigonometric ratios like sine, cosine, and tangent are used to find the unknown sides or angles.
| 4. How can the Pythagoras theorem be proved? | |
Ans. The Pythagoras theorem can be proved using several methods, such as algebraic, geometric, or even by using similar triangles. One of the most well-known proofs is the geometric proof, which involves drawing squares on each side of the right-angled triangle and analyzing their areas.
| 5. Are there any limitations or exceptions to the Pythagoras theorem? | |
Ans. The Pythagoras theorem is a fundamental principle in geometry and generally holds true for right-angled triangles. However, it is important to note that the theorem assumes the triangle is in a Euclidean space and does not consider other geometries. Additionally, in practical applications, measurement errors or rounding can introduce slight deviations from the expected results.
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Dec 23, 2024 Last updated |
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