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Areas of Different Plane Figures

The area of t...

Question

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

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Solution

The triangle with the largest area will be symmetrical as shown in the figure.
Let the radius of the circle be r.
Hence,
Therefore the answer is (a).

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