Correct Answer - Option 3 : 16 cm
2
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