[tex]\Huge\mathbb{ANSWER}[/tex]
[tex]c \implies \: \sqrt{{a}^{2} + {b}^{2} } \\ c = \: \sqrt{{7}^{2} + {24}^{2} } \\ c = \sqrt{49 + 576} \\ c = \sqrt{625} \\ \boxed{\blue{c \implies \: 25}}[/tex]
[tex]\tiny\mathfrak{CarryOnLearning}[/tex]