Answer:
1.5
Step-by-step explanation:
Step 1: find the semiperimeter, s, of the traingle.
Semiperimeter = ½(a + b + c)
Where:
a = 5
b = 5
c = 6
Plug in the values into the formula
s = ½(5 + 5 + 6) = ½(16) = 8
Step 2: Find the radius using the formula, [tex] r^2 = \frac{(s - a)*(s - b)*(s - c)}{s} [/tex]
Plug in the values into the formula
[tex] r^2 = \frac{(8 - 5)*(8 - 5)*(8 - 6)}{8} [/tex]
[tex] r^2 = \frac{(3)*(3)*(2)}{8} [/tex]
[tex] r^2 = \frac{18}{8} [/tex]
[tex] r^2 = 2.25 [/tex]
Take the square root of both sides
[tex] \sqrt{r^2} = \sqrt{2.25} [/tex]
[tex] r = 1.5 [/tex]
Radius = 1.5
