help me to solve the trapezoid area formula for height h. A = h/2 (b (below exponent 1) + b (below exponent 2)

The formula you provided is the area formula for a trapezoid. It is:

\[
A = \frac{h}{2} \times (b_1 + b_2)
\]

Where:
- \(A\) is the area of the trapezoid.
- \(h\) is the height.
- \(b_1\) is the length of one base.
- \(b_2\) is the length of the other base.

You want to solve for the height \(h\). Let's do that step-by-step:

### Step 1: Start with the area formula
\[
A = \frac{h}{2} \times (b_1 + b_2)
\]

### Step 2: Multiply both sides by 2 to eliminate the fraction
\[
2A = h \times (b_1 + b_2)
\]

### Step 3: Divide both sides by \((b_1 + b_2)\)
\[
h = \frac{2A}{b_1 + b_2}
\]

So, the formula for height \(h\) in terms of the area \(A\), and the two bases \(b_1\) and \(b_2\) is:

\[
h = \frac{2A}{b_1 + b_2}
\]

This is the height \(h\) expressed in terms of the area and the lengths of the two bases.

Would you like more details or clarifications? Here are some related questions:

1. What are the dimensions of the trapezoid you are working with?
2. How would you calculate the area if only the bases are given?
3. What is the significance of having two different base lengths in a trapezoid?
4. How does this formula change if both bases are the same length?
5. How can you apply this formula to find the height in a word problem?

**Tip**: The height in a trapezoid is always perpendicular to the two parallel sides (bases). Make sure you measure it correctly when solving real-world problems.

help me to solve the trapezoid area formula for height h. A = h/2 (b1 + b2)

Learn how to solve for height (h) in the trapezoid area formula A = (h/2) * (b1 + b2). This step-by-step guide explains the process, making it perfect for students in Grades 6-8. Explore key concepts in geometry and algebra.

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