The given vertices are .
The perimeter of a triangle equals to sum of the lengths of the sides.
\Use distance formula to find the lengths of the sides.
\The distance between any two points with coordinates is
.
The length of AB is
\ (Distance formula)
(Substitute
)
(Subtract)
(Simplify)
(
)
The length of BC is
\ (Distance formula)
(Substitute
)
(Subtract)
(Simplify)
The length of CA is
\ (Distance formula)
(Substitute
)
(Subtract)
(Evaluate power
)
(
)
The perimeter of the
is
units.
Graph the .
The area of the triangle is .
The graph shows, the perpendicular distance between A and is the height of the
.
So, counting squares on the graph height is 4 units and the length of is 8 units.
(Area of triangle)
(Substitute
)
(Multiply)
The area of the is 32 units.
The perimeter of is 15.2 units and area is 32 units.