Class 10 Exam > Class 10 Videos > 07 - Pythagoras Theorem (derivation) - Class 10 - Maths
07 - Pythagoras Theorem (derivation) - Class 10 - Maths Video Lecture
FAQs on 07 - Pythagoras Theorem (derivation) - Class 10 - Maths Video Lecture
| 1. What is the Pythagorean Theorem and how is it derived? |  |
Ans. The Pythagorean 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. It can be derived using the concept of similar triangles and the properties of right-angled triangles.
| 2. How can the Pythagorean Theorem be applied in real-life situations? | |
Ans. The Pythagorean Theorem can be applied in various real-life situations. For example, it can be used to calculate the distance between two points in a coordinate plane, determine the length of a ladder required to reach a certain height on a wall, or find the distance traveled by a person walking diagonally across a field.
| 3. Can the Pythagorean Theorem be used in non-right-angled triangles? | |
Ans. No, the Pythagorean Theorem can only be used in right-angled triangles. It specifically applies to the relationship between the lengths of the sides in a right triangle, where one angle is exactly 90 degrees.
| 4. What are some other important theorems related to the Pythagorean Theorem? | |
Ans. Some important theorems related to the Pythagorean Theorem include the converse of the Pythagorean Theorem, which states that if the square of the length of the longest side of a triangle is equal to the sum of the squares of the other two sides, then the triangle is a right-angled triangle. Another related theorem is the Pythagorean triple, which refers to a set of three positive integers that satisfy the Pythagorean Theorem.
| 5. Can the Pythagorean Theorem be used to find the lengths of the sides of a triangle? | |
Ans. Yes, the Pythagorean Theorem can be used to find the lengths of the sides of a right-angled triangle. By rearranging the formula, we can solve for the length of any side if we know the lengths of the other two sides. This can be useful in various geometric and trigonometric calculations.
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Dec 23, 2024 Last updated |
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