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The 30-60-90 Triangle Video Lecture | CSAT Preparation - UPSC
FAQs on The 30-60-90 Triangle Video Lecture - CSAT Preparation - UPSC
| 1. What is a 30-60-90 triangle? |  |
Ans. A 30-60-90 triangle is a special type of right triangle where the angles measure 30 degrees, 60 degrees, and 90 degrees. The ratio of the side lengths in this triangle is 1:√3:2, where the hypotenuse is twice the length of the shorter leg.
| 2. How do you find the side lengths of a 30-60-90 triangle? | |
Ans. To find the side lengths of a 30-60-90 triangle, you can start with a known side length, such as the shorter leg, and use the ratios 1:√3:2 to determine the lengths of the other sides. For example, if the shorter leg is 5 units, the longer leg would be 5√3 units, and the hypotenuse would be 10 units.
| 3. What are the properties of a 30-60-90 triangle? | |
Ans. A 30-60-90 triangle has several properties:
- The lengths of the sides are in the ratio 1:√3:2.
- The shorter leg is opposite the 30-degree angle.
- The longer leg is opposite the 60-degree angle.
- The hypotenuse is opposite the 90-degree angle.
- The sum of the angles in a 30-60-90 triangle is always 180 degrees.
| 4. How can a 30-60-90 triangle be used in real-world applications? | |
Ans. 30-60-90 triangles have various applications in fields like engineering, architecture, and physics. For example, they can be used to calculate the height of a building or the length of a ramp. These triangles are also helpful in solving trigonometric problems involving angles of 30 and 60 degrees.
| 5. Can a 30-60-90 triangle be a right triangle with sides of any length? | |
Ans. No, a 30-60-90 triangle is a specific type of right triangle with angles measuring 30, 60, and 90 degrees. The side lengths of a 30-60-90 triangle are determined by a fixed ratio of 1:√3:2. Therefore, a right triangle with different side lengths would not be considered a 30-60-90 triangle.
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