Class 7 Exam > Class 7 Videos > Mathematics (Maths) Class 7 (Old NCERT) > The Right Angled Triangle and Pythagoras Property and Converse of Pythagoras Theorem
The Right Angled Triangle and Pythagoras Property and Converse of Pythagoras Theorem Video Lecture | Mathematics (Maths) Class 7 (Old NCERT)
FAQs on The Right Angled Triangle and Pythagoras Property and Converse of Pythagoras Theorem Video Lecture - Mathematics (Maths) Class 7 (Old NCERT)
| 1. What is a right-angled triangle? |  |
Ans. A right-angled triangle is a triangle that has one angle measuring 90 degrees. It is formed by the intersection of two perpendicular lines, known as the legs, and the hypotenuse is the side opposite the right angle.
| 2. What is the Pythagoras property? | |
Ans. The Pythagoras property 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 (the legs). Mathematically, it can be written as a^2 + b^2 = c^2, where 'c' represents the length of the hypotenuse, and 'a' and 'b' are the lengths of the legs.
| 3. What is the converse of Pythagoras' theorem? | |
Ans. The converse of Pythagoras' theorem states that if the square of the length of the longest side (hypotenuse) of a triangle is equal to the sum of the squares of the other two sides, then the triangle is a right-angled triangle. In other words, if a^2 + b^2 = c^2, then the triangle is a right-angled triangle.
| 4. How is the Pythagoras theorem used in real life? | |
Ans. The Pythagoras theorem is used in various real-life applications. Some examples include:
- Construction: Architects and engineers use the Pythagoras theorem to ensure that buildings, bridges, and other structures are built at right angles and are stable.
- Navigation: The Pythagoras theorem is used in navigation to calculate distances and angles between two points. It is commonly used in GPS systems.
- Sports: Athletes, especially in sports like baseball and cricket, use the Pythagoras theorem to determine the distance between the bases and make strategic decisions.
- Electronics: The Pythagoras theorem is used in electronics to calculate the voltage, resistance, and current in electrical circuits.
- Astronomy: Astronomers use the Pythagoras theorem to measure distances between celestial objects and calculate their positions.
| 5. Can the Pythagoras theorem be used for any triangle? | |
Ans. No, the Pythagoras theorem can only be applied to right-angled triangles. It does not hold true for other types of triangles, such as acute or obtuse triangles. The theorem relies on the presence of a 90-degree angle to establish the relationship between the three sides of the triangle.
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