Answer:
b = 18 in.
Step-by-step explanation:
Since the triangle given is a right triangle, we can use Pythagorean Theorem to solve for b.
[tex]a^2+b^2=c^2\\7.5^2+b^2=19.5^2\\56.25+b^2=380.25\\b^2=324\\\sqrt{b^2}=\sqrt{324}\\b=18[/tex]
Therefore, b is 18 inches.