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Question
The area of the largest triangle that can be inscribed in a semi-circle of radius r is
Options
2r
r2
r
\[\sqrt{r}\]
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 (ΔABC)=1/2 (r)(2r)`
`= r^2"sq.unit"`
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