To find side $ b $ use Pythagorean Theorem:
$$ a^2 + b^2 = c^2 $$After substituting $ a = \frac{ 37 }{ 2 } $ and $ c = \frac{ 229 }{ 10 } $ we have:
$$ \left(\frac{ 37 }{ 2 }\right)^2 + b^2 = \left(\frac{ 229 }{ 10 }\right)^2 $$ $$ b^2 = \left(\frac{ 229 }{ 10 }\right)^2 - \left(\frac{ 37 }{ 2 }\right)^2 $$ $$ b^2 = \frac{ 52441 }{ 100 } - \frac{ 1369 }{ 4 } $$ $$ b^2 = \frac{ 4554 }{ 25 } $$ $$ b = \sqrt{ \frac{ 4554 }{ 25 } } $$$$ b = \frac{ 3 \sqrt{ 506}}{ 5 } $$