UPSC CDS 2 2022 Math Paper

Area of a triangle with base BC& height AB
A=‌

1

2

‌xy‌‌⋯(1)
Altitude to the hypotenuse BM=8‌cm
From the concept discussed above,
Radius of circle OC=OA=OB=10‌cm
Hypotenuse (AC)=(2×10)‌cm=20‌cm
Since, Area of triangle =1∕2× base × height
Area of a triangle with base AC \& height BM
⇒A=‌

1

2

×8×20=80
From equation (1)
⇒‌

1

2

xy=80
⇒xy=160