Solve for a a=1/2*(h(c+d))

$a = \frac{1}{2} \cdot (h (c + d))$

Step 1

Remove parentheses.

$a = \frac{1}{2} \cdot (h (c + d))$

Step 2

Simplify $\frac{1}{2} \cdot (h (c + d))$ .

Apply the distributive property.

$a = \frac{1}{2} \cdot (h c + h d)$

Apply the distributive property.

$a = \frac{1}{2} (h c) + \frac{1}{2} (h d)$

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

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

$a = \frac{h}{2} c + \frac{1}{2} (h d)$

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

$a = \frac{h c}{2} + \frac{1}{2} (h d)$

$a = \frac{h c}{2} + \frac{1}{2} (h d)$

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

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

$a = \frac{h c}{2} + \frac{h}{2} d$

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

$a = \frac{h c}{2} + \frac{h d}{2}$

$a = \frac{h c}{2} + \frac{h d}{2}$

Reorder $h$ and $c$ .

$a = \frac{c h}{2} + \frac{h d}{2}$

Reorder $h$ and $d$ .

$a = \frac{c h}{2} + \frac{d h}{2}$

$a = \frac{c h}{2} + \frac{d h}{2}$

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