Answer:
10.6
Explanation:
When it comes to finding the unknown side length of a right triangle (and only right triangle) we can use the pythagorean theorem=. c^2=a^2+b^2. C is the hypotenuse, and a and b are any side of the triangle. The hypotenuse is 16, and 12 is a side length. We can say 16^2=12^2+x^2 can be used to find the unknown side. X is the unknown side length here. 16•16=256, 12•12=144, 256=144+x^2. Subtracting 144 from both sides, 256-144=112, 112=x^2. To get rid of exponents, we can square root both sides with inverse operations. The square root of 112 is 10.58300524, which means x is equal to 10.58300524. Not to forget to round it to nearest tenth, 10.6 is what we get. Hoping you are doing well, and good luck!