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Area of the Largest Triangle that Can Be Inscribed in a Semi-circle of Radius R Units is - Mathematics

MCQ

Area of the largest triangle that can be inscribed in a semi-circle of radius r units is

Options

  • rsq. units

  • \[\frac{1}{2}\]

  •  2 rsq. units

  • \[\sqrt{2}\]

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Solution

Area of a triangle = \[\frac{1}{2} \times \text{ base } \times \text{ height }\] 

\[\Rightarrow \text{ Area } = \frac{1}{2} \times \left( 2r \right) \times r = r^2\]

So, the area of the largest triangle that can be inscribed in a semi-circle of radius r is r2
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APPEARS IN

RD Sharma Class 10 Maths
Chapter 13 Areas Related to Circles
Q 49 | Page 74
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