Answer:
This is an acute, scalene triangle.
Explanation:
Alright, to find the type of triangle, let's use the distance formula (to find the length of the sides).
d =

The distance from (2,3) to (5,0) is
. = 4.24264068
The distance from (2,3) to (4,4) is
. = 2.23606797
The distance from (5,0) to (4,4) is
. = 4.12310562
The length that is longest is
.
Let's label it c.
Let's label the distance from (2,3) to (4,4) a.
Let's label the distance from (5,0) to (4,4) b.
If c^2 = a^2+b^2, this is a right triangle.
If c^2 < a^2+b^2, this is an acute triangle.
If c^2> a^2+b^2, this is an obtuse triangle.
(
)^2 vs.(
)^2 +(
)^2
18 vs. 5+ 17
18 vs 22.
c^2 < a^2 + b^2.
This is an acute triangle.
None of the sides are equal, so this is a scalene triangle.
This is an acute, scalene triangle.