Answer:
The correct option is: 11.5
Step-by-step explanation:
Suppose, the length of the unknown side is [tex]x[/tex]
So, here the length of hypotenuse is 14 and the lengths of other two sides are 8 and [tex]x[/tex].
As the given triangle is right angle triangle, so using Pythagorean theorem, we will get.........
[tex]8^2+x^2= 14^2\\ \\ 64+x^2=196\\ \\ x^2=196-64=132\\ \\ x=\sqrt{132}=11.489...\approx 11.5[/tex]
(Rounded to the nearest tenth)
So, the length of the unknown side is 11.5
