UPSC 2015 CDS I Math Paper

The area of the largest triangle that can be inscribed in a semicircle will have diameter as the base and height as the radius.Therefore, area of the largest triangle=

1

2

×2r×r=r2
Remember: The largest triangle that can be inscribed in a semicircle is a right–angled triangle with hypotenuse as the diameter of the semi-circle.