Solve for h a=1/2bh

$a = \frac{1}{2} b h$

Step 1

Rewrite the equation as $\frac{1}{2} \cdot (b h) = a$ .

$\frac{1}{2} \cdot (b h) = a$

Step 2

Multiply both sides of the equation by $2$ .

$2 (\frac{1}{2} \cdot (b h)) = 2 a$

Step 3

Simplify the left side.

Simplify $2 (\frac{1}{2} \cdot (b h))$ .

Multiply $\frac{1}{2} (b h)$ .

Combine $b$ and $\frac{1}{2}$ .

$2 (\frac{b}{2} h) = 2 a$

Combine $\frac{b}{2}$ and $h$ .

$2 \frac{b h}{2} = 2 a$

Cancel the common factor of $2$ .

Cancel the common factor.

$2 \frac{b h}{2} = 2 a$

Rewrite the expression.

$b h = 2 a$

Step 4

Divide each term in $b h = 2 a$ by $b$ and simplify.

Divide each term in $b h = 2 a$ by $b$ .

$\frac{b h}{b} = \frac{2 a}{b}$

Simplify the left side.

Cancel the common factor of $b$ .

Cancel the common factor.

$\frac{b h}{b} = \frac{2 a}{b}$

Divide $h$ by $1$ .

$h = \frac{2 a}{b}$