Class 10 Exam > Class 10 Videos > L40 : Acute and Obtuse angle theorem Proof - Triangles, Maths, Class 10
L40 : Acute and Obtuse angle theorem Proof - Triangles, Maths, Class 10 Video Lecture
FAQs on L40 : Acute and Obtuse angle theorem Proof - Triangles, Maths, Class 10 Video Lecture
| 1. What is the acute angle theorem? |  |
Ans. The acute angle theorem states that in a triangle, if one angle is acute, then the other two angles are also acute.
| 2. What is the obtuse angle theorem? | |
Ans. The obtuse angle theorem states that in a triangle, if one angle is obtuse, then the other two angles are acute.
| 3. How can we prove the acute angle theorem? | |
Ans. To prove the acute angle theorem, we can assume that one angle is acute and then use the fact that the sum of the angles in a triangle is 180 degrees. By subtracting the known acute angle from 180 degrees, we can find the sum of the other two angles, which will also be less than 90 degrees.
| 4. Can you provide an example to illustrate the obtuse angle theorem? | |
Ans. Sure! Let's consider a triangle with angles measuring 60 degrees, 70 degrees, and 50 degrees. Here, the angle measuring 70 degrees is obtuse, and the other two angles measuring 60 degrees and 50 degrees are acute. This example satisfies the obtuse angle theorem.
| 5. How are the acute and obtuse angle theorems helpful in geometry? | |
Ans. The acute and obtuse angle theorems help us understand the relationship between angles in a triangle. They provide a foundation for solving various problems involving triangles, such as finding missing angles or determining the type of triangle based on its angles. These theorems are fundamental concepts in geometry and are widely applied in various mathematical and real-world scenarios.
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