Basic Math Examples

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\begin{matrix} b = & 5 h = & 12 \end{matrix}

$\begin{array}{r} b = & 5 \\ h = & 12 \end{array}$

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 = 5

$b = 5$ and height

h = 12

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

\frac{1}{2} \cdot 5 \cdot 12

$\frac{1}{2} \cdot 5 \cdot 12$

Step 3

Combine

\frac{1}{2}

$\frac{1}{2}$ and

5

$5$ .

\frac{5}{2} \cdot 12

$\frac{5}{2} \cdot 12$

Step 4

Cancel the common factor of

2

$2$ .

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Step 4.1

Factor

2

$2$ out of

12

$12$ .

\frac{5}{2} \cdot (2 (6))

$\frac{5}{2} \cdot (2 (6))$

Step 4.2

Cancel the common factor.

$\frac{5}{2} \cdot (2 \cdot 6)$

Step 4.3

Rewrite the expression.

$5 \cdot 6$

Step 5

Multiply

$5$ by

$6$ .

$30$