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Triangle within a Circle Video Lecture | CSAT Preparation - UPSC
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FAQs on Triangle within a Circle Video Lecture - CSAT Preparation - UPSC
| 1. What is a triangle inscribed in a circle? |  |
Ans. A triangle inscribed in a circle is a triangle whose three vertices all lie on the circumference of a given circle.
| 2. How is the relationship between a triangle and a circle defined? | |
Ans. The relationship between a triangle and a circle is defined by the fact that if a triangle is inscribed in a circle, then the measure of each of its angles is half the measure of the intercepted arc.
| 3. What is the significance of a triangle inscribed in a circle? | |
Ans. The significance of a triangle inscribed in a circle is that it has several interesting geometric properties, such as the fact that the perpendicular bisectors of its sides intersect at a single point called the circumcenter of the triangle.
| 4. How can we determine the length of the sides of a triangle inscribed in a circle? | |
Ans. The length of the sides of a triangle inscribed in a circle can be determined using various geometric theorems and formulas, such as the Law of Cosines, the Law of Sines, or the properties of right triangles.
| 5. Can any triangle be inscribed in a circle? | |
Ans. No, not every triangle can be inscribed in a circle. Only certain types of triangles, such as equilateral triangles or isosceles triangles, can be inscribed in a circle.
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