Question 322005: The triangle with the vertices (1, 1), (4, 5), and (0, 2) is:
(A) A scalene triangle (B) An isosceles triangle (C) An equilateral triangle
(D) A right triangle (E) None of the above
Answer by mananth(16946)   (Show Source):
You can put this solution on YOUR website! (1, 1), (4, 5), and (0, 2)
distance between (1, 1), (4, 5),
=sqrt{(4-1)^2+(5-1)^2}
=sqrt{3^2+4^2}
=sqrt25
=5
distance between (4, 5), and (0, 2)
d=sqrt{(0-4)^2+(2-5)^2}
d=sqrt{16+9}
d=sqrt25
=5
distance between (0,2)(1,1)
d=sqrt{(1-0)^2+(1-2)^2}
d=sqrt{1+1)
d=sqrt2
two sides are equal.
so it is an isoscles triangle
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