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Example: The Triangle and its Properties, Triangle Inequality Theorem Video Lecture - Class 7

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FAQs on Example: The Triangle and its Properties, 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.
2. What are the properties of a triangle?
Ans. The properties of a triangle include having three sides, three angles, and the sum of the interior angles equaling 180 degrees. Additionally, triangles can be classified based on their side lengths and angle measurements.
3. How can the Triangle Inequality Theorem be applied in real-life situations?
Ans. The Triangle Inequality Theorem can be applied in various real-life situations, such as determining if it is possible to construct a triangle with given side lengths or determining the range of possible values for a missing side length in a triangle.
4. How can the Triangle Inequality Theorem help in solving geometry problems?
Ans. The Triangle Inequality Theorem can help in solving geometry problems by providing a condition that must be satisfied for a set of side lengths to form a valid triangle. It serves as a useful tool to verify if a given set of side lengths can form a triangle or not.
5. Are there any exceptions to the Triangle Inequality Theorem?
Ans. No, there are no exceptions to the Triangle Inequality Theorem. It is a fundamental property of triangles that applies to all triangles in Euclidean geometry. The sum of the lengths of any two sides will always be greater than the length of the third side.
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