QA – Placement Quizzes | Mensuration 2D | Question 12

The area of the largest triangle that can be inscribed in a semi-circle of radius r, is:-
(A) r^2
(B) 2r^2
(C) r^3
(D) 2r^3

Answer: (A)
Explanation: The largest triangle that can be inscribed is the right-angled triangle with its base as the diameter of the semi-circle.
Area = 1/2 * base * height = 1/2 * 2r * r = r^2
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