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08 - Pythagoras Theorem (activity) - Class 10 - Maths Video Lecture

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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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