Respuesta :

Hello from MrBillDoesMath!

Answer:

10.2

Discussion:

Let the length of the missing side = "s" Applying the Pythagorean theorem to this right triangle gives:


4^2 + s^2 = 11^2    =>

16 + s^2 = 121        =>             ( 4*4 = 16, 11*11 = 121)

16 - 16  + s^2 = 121 - 16 =>     (subtract 16 from both sides)

s^2 = 105 =>

x = sqrt (105)

which is approximately 10.2


Regards,  

MrB

P.S.  I'll be on vacation from Friday, Dec 22 to Jan 2, 2019. Have a Great New Year!