Class 10 Exam > Class 10 Videos > 09 - Basic Proportionality Theorem /Thales Theorem (explanation) - Class 10 - Maths
09 - Basic Proportionality Theorem /Thales Theorem (explanation) - Class 10 - Maths Video Lecture
FAQs on 09 - Basic Proportionality Theorem /Thales Theorem (explanation) - Class 10 - Maths Video Lecture
| 1. What is the Basic Proportionality Theorem? |  |
Ans. The Basic Proportionality Theorem, also known as Thales' Theorem, states that if a line is drawn parallel to one side of a triangle, then it divides the other two sides proportionally. In other words, if a line is parallel to one side of a triangle and intersects the other two sides, it divides those two sides in the same ratio.
| 2. How can the Basic Proportionality Theorem be applied in practical situations? | |
Ans. The Basic Proportionality Theorem is commonly used in various practical situations. For example, it can be used to determine the height of a tree by measuring the length of its shadow and the length of a person's shadow. It can also be used in map scaling, where distances on a map can be accurately measured using the theorem.
| 3. Is the Basic Proportionality Theorem only applicable to triangles? | |
Ans. No, the Basic Proportionality Theorem is not limited to triangles. It can also be applied to any polygon with parallel lines intersecting its sides. However, it is most commonly used and referred to in the context of triangles.
| 4. Can the Basic Proportionality Theorem be used to find unknown lengths in a triangle? | |
Ans. Yes, the Basic Proportionality Theorem can be used to find unknown lengths in a triangle. By setting up a proportion between the known lengths and the unknown lengths, the theorem allows us to solve for the missing values. This is particularly useful when one side of a triangle is known, and a parallel line intersects the other two sides.
| 5. How does the Basic Proportionality Theorem relate to similar triangles? | |
Ans. The Basic Proportionality Theorem is closely related to the concept of similar triangles. If two triangles are similar, their corresponding sides are proportional. In this case, the theorem can be applied to any two corresponding sides of the similar triangles, not just the sides intersected by the parallel line. The theorem helps establish and prove the proportionality between the sides of similar triangles.
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Dec 23, 2024 Last updated |
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