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  • Area of the largest triangle that can be inscribed in a semi-circle of radius r units is (A) r^{2} square unit (B) \frac{1}{2}r^{2} square unit (C) 2r^{2} square unit (D) \sqrt{2}r^{2} square unit

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

(A) r^{2}  square unit      (B) \frac{1}{2}r^{2} square unit    (C) 2r^{2} square unit     (D) \sqrt{2}r^{2} square unit

Answers (1)

(A) r^{2}  square unit

Solution

           

The base of triangle = diameter of the triangle

                          = 2 x r

                         =2r           {r is radius}

Height of triangle = r

\\ Area=\frac{1}{2}\times base \times height\\ =\frac{1}{2} \times 2r \times r\\\\ =r^{2} \text{ Square unit}

Posted by

infoexpert24

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