Answer:
Scalene triangle
Step-by-step explanation:
The given triangle has vertices at A(0, 5), B(−3, 3), and C(0, −5).
We use the absolute value method to find the length of AC.
[tex]|AC|=|5--5|=10[/tex] units.
We use the distance formula to get;
[tex]|AB|=\sqrt{(-3-0)^2+(3-5)^2}[/tex]
[tex]|AB|=\sqrt{9+4}[/tex]
[tex]|AB|=\sqrt{13}[/tex] units
We use the distance formula to find
[tex]|BC|=\sqrt{(-3-0)^2+(-5-3)^2}[/tex]
[tex]|BC|=\sqrt{9+64}[/tex]
[tex]|BC|=\sqrt{73}[/tex] units.
The three sides of the triangle are not equal in length.
The triangle is scalene
