SOLUTION: 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

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
RELATED QUESTIONS
Are the following statements true or false, please help! 1.A scalene triangle is never (answered by mszlmb)

A triangle with side lengths of 5 cm, 3 cm, and 5 cm is? A. an equilateral triangle... (answered by tutorcecilia,funmath)

True or false ? 1 - A scalene triangle is never isosceles? 2 - An isosceles... (answered by vertciel)

Given triangle AMY with vertices A (-1, -1), M (4, -4) and Y (1, 1) using coordinate... (answered by Edwin McCravy)

Given Triangle AMY with vertices A (-1, -1), M (4, -4) and Y (1, 1) using coordinate... (answered by ikleyn)

what type of triangle is determined by the points A( 6,-2), B( 4,3),and c(-1, 5). A an... (answered by richwmiller)

A scalene triangle is. An equilateral triangle (answered by ikleyn)

What is the best classification for a triangle with sides 4, 6, and 5? A.) equilateral (answered by ewatrrr)

Triangle ABC is defined by the vertices A (0,-6), B ( 1,0) and C (6,-7) What type of... (answered by stanbon)