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Question
The area of the largest triangle that can be inscribed in a semi-circle of radius r, is
Options
r2
2r2
r3
2r3
Solution
The triangle with the largest area will be symmetrical as shown in the figure.
Let the radius of the circle be r.
Hence,
`ar (Δ ABC)=1/2(r)(2r)`
`= r^2` sq.unit
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