Answer:
Radius = 2 cm.
Step by step explanation:
By the Pythagoras theorem the third side of the triangle
= sqrt (6^2 + 8^2)cm = sqrt100 = 10cm.
The formula for the radius of the circle is
r = sqrt [ (s - a)(s-b)(s-c)/ s ] where a,b,c are side lengths and s = the semi perimeter.
Here s = ( 6+8+10) / 2 = 12
So the radius r
= sqrt [ (12-6)(12-8)(12-10)/ 12 ]
= sqrt 4
= 2 (answer).
