Class 7 Exam > Class 7 Videos > Mathematics (Maths) Class 7 (Old NCERT) > Examples: Sum of Lengths of 2 Sides of a Triangle- 2
Examples: Sum of Lengths of 2 Sides of a Triangle- 2 Video Lecture | Mathematics (Maths) Class 7 (Old NCERT)
FAQs on Examples: Sum of Lengths of 2 Sides of a Triangle- 2 Video Lecture - Mathematics (Maths) Class 7 (Old NCERT)
| 1. What is the sum of the lengths of the two sides of a triangle? |  |
Ans. The sum of the lengths of any two sides of a triangle is always greater than the length of the third side. This property is known as the Triangle Inequality Theorem.
| 2. Can the sum of the lengths of two sides of a triangle be equal to the length of the third side? | |
Ans. No, the sum of the lengths of any two sides of a triangle can never be equal to the length of the third side. This would violate the Triangle Inequality Theorem and such a figure would not form a triangle.
| 3. Is it possible for the sum of the lengths of two sides of a triangle to be less than the length of the third side? | |
Ans. No, the sum of the lengths of any two sides of a triangle can never be less than the length of the third side. If this were the case, the triangle would not be able to close and form a shape.
| 4. What happens if the sum of the lengths of two sides of a triangle is equal to the length of the third side? | |
Ans. If the sum of the lengths of two sides of a triangle is equal to the length of the third side, it forms a degenerate triangle. In this case, the three sides of the triangle lie on the same line, resulting in a straight line.
| 5. How can the sum of the lengths of two sides of a triangle help determine the type of triangle? | |
Ans. The sum of the lengths of two sides of a triangle, when compared to the length of the third side, can help determine the type of triangle. If the sum of the lengths of two sides is greater than the length of the third side, it forms an acute triangle. If the sum is equal to the length of the third side, it forms a degenerate triangle. And if the sum is less than the length of the third side, it forms an obtuse triangle.
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