Basic Math Examples

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\begin{matrix} b = & 6 h = & 12 \end{matrix}

$\begin{array}{r} b = & 6 \\ h = & 12 \end{array}$

Step 1

The area of a triangle is equal to

\frac{1}{2}

$\frac{1}{2}$ the base times the height.

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

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

Step 2

Substitute the values of the base

b = 6

$b = 6$ and height

h = 12

$h = 12$ into the formula for the area of a triangle.

\frac{1}{2} \cdot 6 \cdot 12

$\frac{1}{2} \cdot 6 \cdot 12$

Step 3

Cancel the common factor of

2

$2$ .

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Step 3.1

Factor

2

$2$ out of

6

$6$ .

\frac{1}{2} \cdot (2 (3)) \cdot 12

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

Step 3.2

Cancel the common factor.

\frac{1}{2} \cdot (2 \cdot 3) \cdot 12

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

Step 3.3

Rewrite the expression.

3 \cdot 12

$3 \cdot 12$

3 \cdot 12

$3 \cdot 12$

Step 4

Multiply

3

$3$ by

12

$12$ .

36

$36$