[tex]\text{Solve for b:}\\\\\text{Pythagorean Theorem:}\\\\a^2+b^2=c^2\\\\\text{Plug in and solve:}\\\\8^2+b^2=17^2\\\\64+b^2=17^2\\\\64+b^2=289\\\\\text{Subtract 64 from both sides}\\\\b^2=225\\\\\text{Square root both sides}\\\\\sqrt{b^2}=\sqrt{225}\\\\\boxed{b=15}[/tex]
Answer:
b=15
Step-by-step explanation:
a^2+b^2=c^2
8^2+b^2=17^2
64+b^2=289
**subtract**
b^2=225
**square root 225**
b=15
