The area of the largest triangle that can be inscribed in a semi-circle of radius 4 cm in square centimetres is.
Answer & explanation
Correct answer: option 1
We know that,
Area of triangle = \(\frac{1}{2}\) × Base × Height
Radius of semi-circle = 4 cm
So,
The largest triangle that can be inscribed in a semi-circle will have a base equal to the diameter and a height equal to the radius of the semi-circle.
Base = 2 × R = 8 cm
Height = R = 4 cm
Area of the triangle = \(\frac{1}{2}\) × 8 × 4
= 4 × 4 = 16 cm2