ANSWER :
scalene triangle
EXPLANATION :
From the problem, the vertices of a triangle are :
T(1, 1), V(4, 0) and S(3, 5)
A triangle is scalene if the three sides are different from each other.
A triangle is isosceles if two sides are congruent.
A triangle is equilateral if three sides are congruent.
So we need to get the distances between two points and determine the type of triangle accordingly.
Using the distance formula :
[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
The distances are :
[tex]\begin{gathered} d_{TV}=\sqrt{(4-1)^2+(0-1)^2}=\sqrt{10} \\ \\ d_{TS}=\sqrt{(3-1)^2+(5-1)^2}=\sqrt{20} \\ \\ d_{VS}=\sqrt{(3-4)^2+(5-0)^2}=\sqrt{26} \end{gathered}[/tex]
Since the distances are different from each other, the triangle is scalene
