Answer:
D
Step-by-step explanation:
Since this is right triangle, we can use the Pythagorean Theorem.
a^2+b^2=c^2
where a and b are the legs, and c is the hypotenuse.
14 and 16 are the legs, because they form the right angle. x is the hypotenuse, because it is opposite the right angle.
14^2+16^2=x^2
Evaluate the exponents
196+256=x^2
Add
452=x^2
To get this is simplest radical form, find the greatest square root that divides evenly into 452
4 is the greatest square root. 4 times 113 equal 452
So, we have
[tex]\sqrt{4}\sqrt{113}[/tex]
Take the square root of 4
2[tex]\sqrt{113}[/tex]
So, choice D is correct.
