Let's first get the value of x, since it's a right triangle, we use Pythagorean Theorem.
Let's make,
a = 14.2
b = 15.5
c = x
[tex]a^2+b^2=c^2[/tex][tex](14.2)^2+(15.5)^2=x^2[/tex][tex]\text{ x = }\sqrt[]{14.2^2+15.5^2}[/tex][tex]\text{ x = 21.02}[/tex]
Let's try choice c if the inequality fits,
[tex]14.2\text{ }+\text{ 15.5 + x }<\text{ }51.3[/tex][tex]14.2\text{ }+\text{ 15.5 + 21.02 }<\text{ 51.3}[/tex][tex]50.72\text{ }<\text{ 51.3}[/tex]
The inequality fits, therefore c is the correct answer.
