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Introduction: Triangles Video Lecture - Class 9

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FAQs on Introduction: Triangles Video Lecture - Class 9

1. What are the different types of triangles?
Ans. There are three types of triangles based on their sides: equilateral triangles have all sides of equal length, isosceles triangles have two sides of equal length, and scalene triangles have no sides of equal length.
2. How do you find the area of a triangle?
Ans. The area of a triangle can be found using the formula: Area = (base * height) / 2. The base is the length of the bottom side of the triangle, and the height is the perpendicular distance from the base to the opposite vertex.
3. What is the Pythagorean theorem?
Ans. The Pythagorean theorem states that in a right-angled triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the other two sides. It can be written as a^2 + b^2 = c^2, where c is the length of the hypotenuse, and a and b are the lengths of the other two sides.
4. How do you determine if three given side lengths form a triangle?
Ans. To determine if three given side lengths form a triangle, you can use the triangle inequality theorem. According to this theorem, the sum of the lengths of any two sides of a triangle must be greater than the length of the third side. If this condition is satisfied for all three combinations of side lengths, then a triangle can be formed.
5. What is the sum of the interior angles of a triangle?
Ans. The sum of the interior angles of a triangle is always 180 degrees. This property holds true for all triangles, regardless of their size or shape.
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