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The area of the largest triangle that can be inscribed in a semi-circle of radius 4 cm in square centimetres is 
1. 14 cm2
2. 12 cm2
3. 16 cm2
4. 18 cm2

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Correct Answer - Option 3 : 16 cm2

Given:

Radius of semi-circle = 4 cm

Formula used:

Area of triangle = (1/2) × Base × Height

Calculations:

The largest triangle that can be inscribed in a semi-circle will have base equal to the diameter and the height equal to the radius of the semi-circle.

Base = 2 × R = 8 cm

Height = R = 4 cm

Area of the triangle = (1/2) × 8 × 4

⇒ 4 × 4

⇒ 16 cm2

∴ The area of the largest triangle that can be inscribed in the semi-circle is 16 cm2

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