Verified Answer :

10^2+14^2=296
Square root of 296
17.20

Solutions 

\(a^{2}\) + \(b^{2}\) = \(c^{2}\) 

10 is \(a^{2}\)  and 14 is \(b^{2}\) 

To find 
\(c^{2}\)  you have to add \(a^{2}\) + \(b^{2}\). 

Calculations 
\(10^{2}\) + \(14^{2}\) = \(c^{2}\)  
\(10^{2}\)  = 10 x 10 
\(10^{2}\)  = 100

\(14^{2}\) = 14 x 14 
\(14^{2}\) = 196

Since 
\(a^{2}\) + \(b^{2}\) = \(c^{2}\) you have to add \(10^{2}\) and  \(14^{2}\) . 

100 + 196 = 296

To find the 
hypotenuse you have to square root 296. 

\(\sqrt{269}\) 
= 17.2 

17.2 is the hypotenuse or \(c^{2}\)