Question

Which of the following describes triangle TVS? The vertices are T(1,1) V(4,0) and S(3,5).

Isosceles
Scalene
Right
Equilateral

Answer 1

Scalene

Explanation:

The three sides have different lengths

Answer 2

The triangle is scalene as their edges are not equal:
ST=
`√(4 + 16) = √(20)`
VT=
`√(9+1) = √(10)`
SV=
`√(1+25)= √(26)`
So the triangle can not be isosceles or equilateral.
And calculating the slope of the edges notated with m we may observe that their multiply result it is not -1 as in the cases of the right triangle.
m
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