$\"\"$

\

The points are $\"\"$ , $\"\"$ and $\"\"$ .

\

Calculate lengths of each side of the triangle by using the distance formula,

\

$\"\"$ .

\

$\"\"$ and $\"\"$ .

\

Substitute $\"\"$ for $\"\"$ , $\"\"$ for $\"\"$ , $\"\"$ for $\"\"$ and $\"\"$ for $\"\"$ in above formula.

\

$\"\"$

\

$\"\"$

\

$\"\"$

\

$\"\"$

\

$\"\"$ and $\"\"$ .

\

Substitute $\"\"$ for $\"\"$ , $\"\"$ for $\"\"$ , $\"\"$ for $\"\"$ and $\"\"$ for $\"\"$ in above formula.

\

$\"\"$

\

$\"\"$

\

$\"\"$

\

$\"\"$

\

$\"\"$ and $\"\"$ .

\

Substitute $\"\"$ for $\"\"$ , $\"\"$ for $\"\"$ , $\"\"$ for $\"\"$ and $\"\"$ for $\"\"$ in above formula.

\

$\"\"$

\

$\"\"$

\

$\"\"$

\

$\"\"$

\

$\"\"$

\

$\"\"$

\

Graph

\

Draw the coordinate plane.

\

Plot the points and connect the plotted points.

\

$\"\"$

\

Verify the Pythagorean theorem.

\

$\"\"$

\

$\"\"$

\

$\"\"$

\

$\"\"$

\

$\"\"$

\

$\"\"$ is a right angle triangle. $\"\"$

\

Calculate the area of triangle by using formula.

\

Area $\"\"$

\

$\"\"$

\

$\"\"$

\

Area $\"\"$ square units. $\"\"$

\

$\"\"$ is a right angle triangle and its area is $\"\"$ square units.