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Side Length of Triangle - Triangle and Its Properties, Mathematics, CBSE Class 7 Video Lecture

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FAQs on Side Length of Triangle - Triangle and Its Properties, Mathematics, CBSE Class 7 Video Lecture

1. What is the side length of a triangle?
Ans. The side length of a triangle refers to the length of each of its three sides. It is the distance between two vertices or corners of the triangle.
2. How can I find the side length of a triangle?
Ans. To find the side length of a triangle, you can use various methods depending on the information given. If you have the coordinates of the vertices, you can use the distance formula in coordinate geometry. If you have the lengths of two sides and the measure of the included angle, you can use the Law of Cosines. If you have the lengths of all three sides, you can use the Law of Sines.
3. Can a triangle have sides of different lengths?
Ans. Yes, a triangle can have sides of different lengths. In fact, most triangles have sides of different lengths, unless they are special types of triangles like equilateral or isosceles triangles. The sum of the lengths of any two sides of a triangle must always be greater than the length of the third side.
4. What are the properties of a triangle's side length?
Ans. The properties of a triangle's side length include the fact that the sum of the lengths of any two sides is always greater than the length of the third side. This is known as the Triangle Inequality Theorem. Additionally, the side lengths of an equilateral triangle are all equal, while in an isosceles triangle, two sides have the same length.
5. How can I determine if three side lengths form a triangle?
Ans. To determine if three side lengths form a triangle, you can apply the Triangle Inequality Theorem. According to this theorem, the sum of the lengths of any two sides of a triangle must always be greater than the length of the third side. So, if the sum of the lengths of any two sides is greater than the length of the third side, then the given side lengths form a triangle. If not, they do not form a triangle.
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