UPSC CDS 2 2020 Math Paper

Let the sides of right angled triangle are a unit and b unit.
Length of its hypotenuse = h units
Using Pythagoras theorem
⇒a2+b2=h2 ………..(1)
According to question
a2+b2+h2=8450
From (1)
2h2=8450
h2=4225
h=65
Hence, Length of hypotenuse = 65 units