Answer: c)
Step-by-step explanation:
This can be done through trial-and-error. Use the pythagoreas' theorem [tex]a^{2} +b^{2} =c^{2} [/tex] and if the left side of the equation is equal to the right, that is the answer.
(Do take note that c is the longest side.)
a)
[tex]0.07^{2} +2.4^{2} =5.7649[/tex]
[tex]2.5^{2}=6.25[/tex]
Since [tex]2.5^{2} \neq 5.7649[/tex], a) is wrong.
b)
[tex]17^{2} +30^{2} =1189\\
34^{2} =1156[/tex]
Since [tex]34^{2}\neq1189[/tex], b) is wrong.
c) (answer)
[tex]5^{2} +12^{2} =169\\13^{2} =169[/tex]
Since [tex]13^{2} =169[/tex], c) is correct.
d)
[tex](7x)^{2} +(12x)^{2} =193x^{2}\\(13x)^{2} =169x^{2}[/tex]
Since [tex](13x)^{2} \neq193x^{2}[/tex], d) is wrong.
