Geometry helppp please

Answer:
17
Step-by-step explanation:
[tex]a^{2}[/tex] + [tex]b^{2}[/tex] = [tex]c^{2}[/tex]
[tex]8^{2}[/tex] +[tex]15^{2}[/tex] =[tex]c^{2}[/tex]
64 + 225 = [tex]c^{2}[/tex]
289 = [tex]c^{2}[/tex]
[tex]\sqrt{289}[/tex] = [tex]\sqrt{c^{2} }[/tex]
17 = c