Question

Find the radius of the circle

Answer 1

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, $r^2 = \frac{(s - a)*(s - b)*(s - c)}{s}$

Plug in the values into the formula

$r^2 = \frac{(8 - 5)*(8 - 5)*(8 - 6)}{8}$

$r^2 = \frac{(3)*(3)*(2)}{8}$

$r^2 = \frac{18}{8}$

$r^2 = 2.25$

Take the square root of both sides

$\sqrt{r^2} = \sqrt{2.25}$

$r = 1.5$

Radius = 1.5