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
.
_B(3,6)_C(3,-2).gif\")
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.