Answer:
The correct option is: 11.5
Explanation:
Suppose, the length of the unknown side is
![x](https://img.qammunity.org/2019/formulas/mathematics/college/lhtxftojjkzsmo3o2h4ilq8naohracejui.png)
So, here the length of hypotenuse is 14 and the lengths of other two sides are 8 and
.
As the given triangle is right angle triangle, so using Pythagorean theorem, we will get.........
![8^2+x^2= 14^2\\ \\ 64+x^2=196\\ \\ x^2=196-64=132\\ \\ x=√(132)=11.489...\approx 11.5](https://img.qammunity.org/2019/formulas/mathematics/middle-school/ockkc869q69qan4x1wb6k5yptp8pl0w13l.png)
(Rounded to the nearest tenth)
So, the length of the unknown side is 11.5