UPSC CDS I 2025 Mathematics Paper

Given:
p+b+h=24
p+b−h=4
Formula used:
The radius (r) of the inscribed circle in a right-angled triangle is given by the formula:
r=‌

a+b−c

2

Where: a and b are the perpendicular sides of the triangle
c is the hypotenuse of the triangle
Calculation:
‌p+b+h=24cm
‌p+b−h=4cm
The radius ( r ) of the inscribed circle in a right-angled triangle is given by the formula:
‌r=‌

p+b−h

2

‌r=4∕2=2cm
Therefore, the radius of the inscribed circle is: 2 cm .