The area of the largest triangle that can be inscribed in a semi-circle of radius 6 cm is:
Answer & explanation
Correct answer: option 1
We know that,
Area of triangle = \(\frac{1}{2}\) × Base × Height
Radius of semi-circle = 6 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 × 6 = 12 cm
Height = R = 6 cm
Area of the triangle = \(\frac{1}{2}\) × 12 × 6
= 6 × 6 = 36 cm2