Question

CAN YOU PLEASE HELP ME?find the unknown side length*CAN YOU PLEASE SHOW YOUR WORK*?​

Answer 1

Answer:

5 sqrt(3)

Step-by-step explanation:

We can use the Pythagorean theorem to find the unknown side

a^2 +b^2 = c^2

11^2 + x^2 = 14^2

121 + x^2 = 196

Subtract 121 from each side

121-121 +x^2 = 196-121

x^2 =75

Take the square root of each side

sqrt(x^2) = sqrt(75)

x = sqrt(25*3)

  = sqrt(25) sqrt(3)

   =5sqrt(3)