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The area of the largest triangle that can be inscribed in a semicircle of radius 6 m is
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- 36 m²
- 72 m²
- 18 m²
- 12 m²
- 36 m²
Correct Option: A
The angle in a semi-circle is a right angle.
Let point C be the mid-point of arc ABC.
Maximum height of ∆ABC = OC = radius
| ∴ Area of triangle ABC = | × AB × OC | |
| 2 |
| = | × 12 × 6 = 36sq. metre | |
| 2 |
