Question

the sides containing the right angle of a right angle triangle are 12 cm and 16 cm respectively what is the radius of circumcircle of the triangle?

Answer 1

the radius of the triangle is:14

Answer 2

Given : The sides containing the right angle of a right angled triangle are 12 cm and 16 cm respectively.
We know Pythagoras theorem :
Hypotenuse2 =  Adjacent2 + Opposite2  , Substitute given values we get
Hypotenuse2 = 122 + 162  ,
Hypotenuse2 = 144 + 256 ,
Hypotenuse2 = 400 ,
Hypotenuse2 = 202 ,
Hypotenuse = 20 cm   
We know " If circumcircle is on right angle triangle then  the hypotenuse is a diameter of the circumcircle, and its center is exactly at the midpoint of the hypotenuse. " 
So, 
Radius of given circumcircle  =  202 = 10 cm