Given the following three points, (-14, 8), (-7, 8), (-7, 16),
Which of the following statements is true?
A) The points are not the vertices of any triangle.
B) The points are the vertices of an equilateral triangle.
C) The points are the vertices of a right triangle.
D) The points are the vertices of a triangle that is neither right nor isosceles nor equilateral.
E) The points are the vertices of an isosceles triangle.

Question

Quizplus · Accepted Answer

Based on the given points, the distance between the first and second point is 7 units and the distance between the second and third point is also 8 units. However, the distance between the first and third point is 10 units. Therefore, the triangle formed by these points is neither equilateral nor isosceles. Additionally, since the distance between the first and second point and the distance between the second and third point are equal, the angle between those sides will be 90 degrees. However, this does not make the triangle a right triangle as the third side is not perpendicular to either of the other two sides. Therefore, the correct choice is D, the points are the vertices of a triangle that is neither right nor isosceles nor equilateral.

Given the Following Three Points, (-14, 8), (-7, 8), (-7