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To solve for \( b \) from the given equation:

\[
A = \frac{1}{2} b h
\]

Let's solve step by step:

1. Start with the original equation:
   \[
   A = \frac{1}{2} b h
   \]
   
2. Multiply both sides of the equation by 2 to eliminate the fraction:
   \[
   2A = b h
   \]
   
3. Now, divide both sides of the equation by \( h \) to solve for \( b \):
   \[
   b = \frac{2A}{h}
   \]

So, the correct answer is:

\[
b = \frac{2A}{h}
\]

This matches the second option in your list. Would you like more details or have any questions?

Here are 5 related questions to expand on this topic:
1. How do you solve for \( h \) in the same equation?
2. What is the significance of this formula in geometry?
3. Can you derive the formula for \( A \) in terms of \( b \) and \( h \)?
4. How would this equation change if the area was for a different geometric shape?
5. Can you graph the relationship between \( A \), \( b \), and \( h \)?

**Tip:** Always clear fractions by multiplying both sides of the equation to make the algebraic manipulation easier.

Explore how to rearrange the triangular area formula A = 1/2 bh to solve for the base (b), using the method of isolating b by multiplying the equation by 2 and then dividing by height (h). Ideal for students in Grades 6-9 learning algebra and geometry.

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