Class 7 Exam > Class 7 Videos > Sum of the Lengths of Two Sides of a Triangle: Triangle Inequality Theorem
Sum of the Lengths of Two Sides of a Triangle: Triangle Inequality Theorem Video Lecture - Class 7
FAQs on Sum of the Lengths of Two Sides of a Triangle: Triangle Inequality Theorem Video Lecture - Class 7
| 1. What is the Triangle Inequality Theorem? |  |
Ans. The Triangle Inequality Theorem states that the sum of the lengths of any two sides of a triangle must be greater than the length of the third side. In other words, if a, b, and c are the lengths of the sides of a triangle, then a + b > c, a + c > b, and b + c > a.
| 2. Why is the Triangle Inequality Theorem important? | |
Ans. The Triangle Inequality Theorem is important because it helps determine whether a given set of side lengths can form a triangle or not. If the sum of the lengths of any two sides is not greater than the length of the third side, it is not possible to create a triangle using those side lengths.
| 3. Can the Triangle Inequality Theorem be applied to any type of triangle? | |
Ans. Yes, the Triangle Inequality Theorem can be applied to any type of triangle, whether it is equilateral, isosceles, or scalene. It is a fundamental property of triangles that holds true for all types.
| 4. How can the Triangle Inequality Theorem be used to solve problems related to triangles? | |
Ans. The Triangle Inequality Theorem can be used to solve problems by checking if a given set of side lengths can form a triangle. If the theorem is satisfied, then it is possible to construct a triangle with those side lengths. If not, it is not possible to form a triangle.
| 5. Are there any exceptions or special cases to the Triangle Inequality Theorem? | |
Ans. No, there are no exceptions or special cases to the Triangle Inequality Theorem. It is a universally applicable theorem that holds true for all triangles. If the sum of the lengths of any two sides is not greater than the length of the third side, it is impossible to form a triangle.
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Dec 25, 2024 Last updated |
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