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Algebra 1

Carter, Cuevas, Day, Holiday, Luchin

$Math Studyset 91影视 Explanations$ Math

Student Edition 路 801 pages

ISBN: 9780078884801

Chapter 2: Q77. (page 143)

GEOMEIRY the formula for the area of a trapezoid is $A = \frac{1}{2} h (a + b)$ ,where $h$ represents the height and $a$ and $b$ represent the lengths of the bases. Solve for $h$ .

Short Answer

Expert verified

The formula for the area the trapezoid for the height $h$ is $\frac{2 A}{(a + b)}$ .

Step by step solution

01

Step 1. Given information.

The formula for the area of the trapezoid:

$\begin{array}{l} A = \frac{1}{2} h (a + b) \\ where, \\ h = height, a and b arethelengthsofthebases \end{array}$

02

Step 2. Calculation.

Solve the formula for the area the trapezoid for $h$ :

role="math" localid="1643107414025" $\begin{array}{l} A = \frac{1}{2} h (a + b) \\ 鈬� 2 A = h (a + b) \\ 鈬� h = \frac{2 A}{(a + b)} \end{array}$

03

Step 3. Conclusion.

Hence, the formula for the area the trapezoid for the height $h$ is $\frac{2 A}{(a + b)}$ .

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