Step 1 :Given the algebraic expression \(\frac{1}{2} b h\), where \(b=7\) and \(h=5\).
Step 2 :Substitute the given values into the expression, we get \(\frac{1}{2} * 7 * 5\).
Step 3 :Simplify the expression to get the final result.
Step 4 :Final Answer: The value of the expression \(\frac{1}{2} b h\), for \(b=7\) and \(h=5\) is \(\boxed{17.5}\).