Pre-Algebra Examples

 $\begin{array}{r} b = & 3 \\ h = & 12 \end{array}$

Step 1

The area of a triangle is equal to $\frac{1}{2}$ the base times the height.

$\frac{1}{2} \cdot (b a s e) \cdot (h e i g h t)$

Step 2

Substitute the values of the base $b = 3$ and height $h = 12$ into the formula for the area of a triangle.

$\frac{1}{2} \cdot 3 \cdot 12$

Step 3

Combine $\frac{1}{2}$ and $3$ .

$\frac{3}{2} \cdot 12$

Step 4

Cancel the common factor of $2$ .

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Step 4.1

Factor $2$ out of $12$ .

$\frac{3}{2} \cdot (2 (6))$

Step 4.2

Cancel the common factor.

$\frac{3}{2} \cdot (2 \cdot 6)$

Step 4.3

Rewrite the expression.

$3 \cdot 6$

Step 5

Multiply $3$ by $6$ .

$18$

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