Write the formula for the area of a triangle, A = 1/2 bh, solving for h. Find the height of a triangle when A = 18 in2 and b = 9 in.

To solve for the height \( h \) in the formula for the area of a triangle, you start with the formula:

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

To solve for \( h \), you can follow these steps:

1. **Multiply both sides by 2** to get rid of the fraction:
   \[
   2A = bh
   \]

2. **Divide both sides by \( b \)** to isolate \( h \):
   \[
   h = \frac{2A}{b}
   \]

Now, you can substitute the given values into the equation to find the height:

- \( A = 18 \, \text{in}^2 \)
- \( b = 9 \, \text{in} \)

\[
h = \frac{2 \times 18}{9} = \frac{36}{9} = 4 \, \text{in}
\]

So, the height \( h \) of the triangle is **4 inches**.

Would you like more details on this, or do you have any other questions?

Here are 5 related questions:

1. How would you solve for the base \( b \) if you know the area \( A \) and height \( h \)?
2. What is the formula for the area of a triangle if you know all three sides?
3. How would the formula change if you were calculating the area of a triangle using trigonometry?
4. What is the relationship between the area of a triangle and its perimeter?
5. How does the area formula change if you use different units for the base and height?

**Tip:** Always double-check the units of your measurements when calculating areas to ensure consistency and accuracy.

Learn how to find the height of a triangle when given the area and base. Detailed step-by-step solution using the formula A = 1/2 * base * height. Practice problem: A = 18 in², b = 9 in. Suitable for Grades 6-8.

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