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

Step 1. Given information.

The formula for the area of the trapezoid:

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

Step 2. Calculation.

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

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

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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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

Step by step solution

Step 1. Given information.

Step 2. Calculation.

Step 3. Conclusion.

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GEOMEIRY the formula for the area of a trapezoid is A=12ha+b,where hrepresents the height and a and brepresent the lengths of the bases. Solve for h.

Short Answer

Step by step solution

Step 1. Given information.

Step 2. Calculation.

Step 3. Conclusion.

One App. One Place for Learning.

Most popular questions from this chapter

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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 $h$ .