Abc is a right angled triangle right angled at b . a circle with centre o inscribed in the triangle . ab=6cm bc=8cm . find the radius r of the circle

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).

rick would give her the best deal as he will charge $8.88 per hour