Class 10 Exam > Class 10 Videos > 05 - Ratios Of Areas of Similar Triangles (activity) - Class 10 - Maths
05 - Ratios Of Areas of Similar Triangles (activity) - Class 10 - Maths Video Lecture
FAQs on 05 - Ratios Of Areas of Similar Triangles (activity) - Class 10 - Maths Video Lecture
| 1. What is the ratio of the areas of two similar triangles? |  |
Ans. The ratio of the areas of two similar triangles is equal to the square of the ratio of their corresponding side lengths.
| 2. How can we find the ratio of the areas of two similar triangles? | |
Ans. To find the ratio of the areas of two similar triangles, we can square the ratio of their corresponding side lengths. For example, if the ratio of the lengths of corresponding sides is 2:3, then the ratio of their areas will be (2/3)^2 = 4/9.
| 3. What is the significance of the ratio of areas in similar triangles? | |
Ans. The ratio of areas in similar triangles helps us understand the relationship between the sizes of the triangles. It tells us how much larger or smaller one triangle is compared to the other. This ratio is a useful tool in various geometric calculations and applications.
| 4. Can the ratio of areas of similar triangles be greater than 1? | |
Ans. Yes, the ratio of areas of similar triangles can be greater than 1. If the corresponding side lengths of two similar triangles are in the ratio of 3:2, then the ratio of their areas will be (3/2)^2 = 9/4, which is greater than 1.
| 5. How does the ratio of areas of similar triangles affect their heights? | |
Ans. The ratio of areas of similar triangles is equal to the square of the ratio of their corresponding side lengths. Since the height of a triangle is perpendicular to its base, the ratio of heights will also be equal to the ratio of side lengths. Therefore, if the ratio of side lengths is 2:3, the ratio of heights will also be 2:3.
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