Respuesta :

Answer: 5.1

Step-by-step explanation:

pythagorean theorem: a^2+b^2=c^2

c^2-b^2=a^2 (switch around some things)

(14.9)^2 - (14)^2 = x^2 (insert values)    c=14.9,b=14,a=x

222.01 - 196 = x^2

26.01 = x^2

5.1 = x

Answer:

x = 5.1

Step-by-step explanation:

The radius of the circle is 14.9

Using Pythagoras' identity in the right triangle on the left where the hypotenuse is the radius

x² + 14² = 14.9²

x² + 196 = 222.01 ( subtract 196 from both sides )

x² = 26.01 ( take the square root of both sides )

x = [tex]\sqrt{26.01}[/tex] = 5.1