UPSC CDS 2 2020 Math Paper

Radius of the circumcircle = 5 cmAltitude drawn to the hypotenuse = 4 cm
As, ABC is a right angled triangle with ∠C=90°
AND we know that the angle inscribed in a semicircle is always a right angle.
The hypotenuse of the triangle is the diameter of the circle.
Hence, Hypotenuse = 2×5=10‌cm
Area of a right-angled triangle =

1

2

×4×10=20cm2