UPSC > CSAT Preparation > Problem Set on Triangles: 2
Problem Set on Triangles: 2 Video Lecture - CSAT Preparation - UPSC
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FAQs on Problem Set on Triangles: 2 Video Lecture - CSAT Preparation - UPSC
| 1. What are the different types of triangles? |  |
Ans. There are several types of triangles based on their side lengths and angles. Some common types include equilateral triangles (all sides and angles are equal), isosceles triangles (two sides and two angles are equal), and scalene triangles (all sides and angles are different).
| 2. How do you find the area of a triangle? | |
Ans. The formula to find the area of a triangle is (base x height) / 2. You can multiply the length of the base by the perpendicular height drawn from the base to the opposite vertex, and then divide the product by 2 to get the area.
| 3. What is the Pythagorean theorem and how is it used in triangles? | |
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 is often used to find the length of one side in a right-angled triangle when the lengths of the other two sides are known.
| 4. How do you determine if a set of three side lengths can form a triangle? | |
Ans. To determine if a set of three side lengths can form a triangle, you need to apply 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 sides, then the set of lengths can form a triangle.
| 5. What is the sum of the angles in a triangle? | |
Ans. The sum of the three angles in any triangle is always 180 degrees. This property holds true for all types of triangles, regardless of their side lengths or angles.
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