$\"\"$

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

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

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$\"\"$ .

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

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

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$\"\"$

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$\"\"$

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$\"\"$

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$\"\"$

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

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

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$\"\"$

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$\"\"$

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$\"\"$

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$\"\"$

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

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

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$\"\"$

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$\"\"$

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$\"\"$

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$\"\"$

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$\"\"$

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Graph

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Draw the coordinate plane.

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Plot the points and connect the plotted points. $\"\"$

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Verify the Pythagorean theorem.

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$\"\"$

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$\"\"$

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$\"\"$

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$\"\"$

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$\"\"$

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

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Calculate the area of triangle by using formula.

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Area $\"\"$

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$\"\"$

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$\"\"$

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$\"\"$

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

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