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1. The area of the largest triangle that can be inscribed in a semi-circle of radius r, is :

A. r²

B. 2r²

C. r³

D. 2r³

Solution:

Required area :

\begin{aligned} = \frac{1}{2} \times Base \times Height \\ = (\frac{1}{2} \times 2 r \times r) \\ = r^{2} \end{aligned}

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