Question: The formula for the area of a triangle is $A = \frac{1}{2} bh$. Which equation correctly describes the height, $h$?\n\nā $h = \frac{A}{2b}$\n\nā $h = 2A - b$\n\nā $h = \frac{A}{2} - b$\n\nā $h = \frac{2A}{b}$
1. **State the problem:** We are given the formula for the area of a triangle as $$A = \frac{1}{2} bh$$ and need to find the correct formula for the height $h$ in terms of $A$ and $b$.\n\n2. **Recall the formula:** The area of a triangle is given by $$A = \frac{1}{2} \times b \times h$$ where $b$ is the base and $h$ is the height.\n\n3. **Isolate $h$:** To find $h$, multiply both sides by 2 to eliminate the fraction:\n$$2A = \cancel{2} \times \frac{1}{\cancel{2}} bh = bh$$\n\n4. **Divide both sides by $b$ to solve for $h$:**\n$$h = \frac{2A}{b}$$\n\n5. **Conclusion:** The correct formula for the height $h$ is $$h = \frac{2A}{b}$$ which matches the last option.\n\n**Final answer:** $h = \frac{2A}{b}$