Class 10 Exam > Class 10 Videos > 10 - Basic Proportionality Theorem (activity) - Class 10 - Maths
10 - Basic Proportionality Theorem (activity) - Class 10 - Maths Video Lecture
FAQs on 10 - Basic Proportionality Theorem (activity) - Class 10 - Maths Video Lecture
| 1. What is the Basic Proportionality Theorem? |  |
Ans. The Basic Proportionality Theorem states that if a line is drawn parallel to one side of a triangle and intersects the other two sides, then it divides those sides proportionally. In other words, if a line is parallel to one side of a triangle and intersects the other two sides, the ratio of the lengths of the segments formed on those two sides will be equal.
| 2. How can the Basic Proportionality Theorem be applied in practical situations? | |
Ans. The Basic Proportionality Theorem can be applied in various practical situations. For example, it can be used in surveying to determine the height of a tall object by measuring the shadows it casts at different angles. It can also be used in architecture to ensure that the dimensions of various parts of a building are proportionate. Additionally, it can be applied in physics and engineering to calculate distances or ratios in similar geometric figures.
| 3. Can the Basic Proportionality Theorem be used only in triangles? | |
Ans. No, the Basic Proportionality Theorem can be used not only in triangles but also in other polygons. As long as a line is drawn parallel to one side of a polygon and intersects the other sides, the theorem holds true. However, for simplicity, it is mostly taught and used in the context of triangles.
| 4. How is the Basic Proportionality Theorem different from the Pythagorean Theorem? | |
Ans. The Basic Proportionality Theorem and the Pythagorean Theorem are two distinct mathematical concepts. The Basic Proportionality Theorem deals with the proportionality of segments in a triangle when a line is drawn parallel to one side, while the Pythagorean Theorem relates the lengths of the three sides of a right-angled triangle. The Pythagorean Theorem states that the square of the hypotenuse is equal to the sum of the squares of the other two sides.
| 5. Are there any limitations or conditions for applying the Basic Proportionality Theorem? | |
Ans. Yes, there are certain conditions that need to be met for the Basic Proportionality Theorem to be applied. The line drawn parallel to one side of the triangle must intersect the other two sides, and the corresponding segments on those sides must be measurable. Additionally, the theorem assumes that the lines are drawn in a plane and that the triangle is not degenerate (i.e., it has non-zero area). These conditions ensure the validity and applicability of the theorem.
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