Question

Find the radius of the circle

Answer 1

1.5

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 = ((s - a)*(s - b)*(s - c))/(s)`

Plug in the values into the formula

`r^2 = ((8 - 5)*(8 - 5)*(8 - 6))/(8)`

`r^2 = ((3)*(3)*(2))/(8)`

`r^2 = (18)/(8)`

`r^2 = 2.25`

Take the square root of both sides

`√(r^2) = √(2.25)`

`r = 1.5`

Radius = 1.5