Question

Is △TVS scalene, isosceles, or equilateral? The vertices are T(1, 1), V(4, 0), and S(3, 5).

Answer 1

Scalene triangle. The scalene triangle is a polygon with three sides, all of which are different. For this case we have a scalene triangle. (see attached graphic)
 The green and blue sides have different lengths.
 The red side has a different length 
 Answer 
 Scalene triangle

Answer 2

Calculate the side lengths and see. 
T(1, 1), V(4, 0), S(3, 5).
Each side length is the distance between two vertices. 

TV: √[(4-1)^2 + (0-1)^2] = √[9+1] = √10 
SV: √[(3-4)^2 + (5-0)^2] = √[1+25] = √26 
ST: √[(3-1)^2 + (5-1)^2] = √[4+16] = √20 

The triangle is scalene No equal sides