It appears to be a scalene triangle because its 3 sides are of different lengths
It appears to be an isosceles triangle when plotted on the Cartesian plane
That will depend on the 3rd coordinate which has not been given
A scalene triangle. The sides are all different lengths -- 5, 2sqrt(5) and sqrt(5)
The circumcenter of a triangle is the point where the perpendicular bisectors of the triangle's sides intersect. It is equidistant from all three vertices of the triangle, making it the center of the circumcircle, which is the circle that passes through all three vertices. The circumcenter's location varies depending on the triangle type: it lies inside the triangle for acute triangles, on the triangle for right triangles, and outside for obtuse triangles.
The perpendicular bisectors of a triangle intersect at a single point called the circumcenter. This point is equidistant from all three vertices of the triangle, making it the center of the circumcircle, which is the circle that passes through all three vertices. The circumcenter's position varies depending on the type of triangle: it lies inside an acute triangle, on the hypotenuse of a right triangle, and outside an obtuse triangle.
a right triangle
It appears to be an isosceles triangle when plotted on the Cartesian plane
That will depend on the 3rd coordinate which has not been given
A scalene triangle. The sides are all different lengths -- 5, 2sqrt(5) and sqrt(5)
What type of triangle, if any , can be formed with angle measures of 32°, 126° , and 32°
By using a pair of compasses or depending on what type of triangle it is creating a perpendicular line from one of its vertices to its opposite side.
The circumcenter of a triangle is the point where the perpendicular bisectors of the triangle's sides intersect. It is equidistant from all three vertices of the triangle, making it the center of the circumcircle, which is the circle that passes through all three vertices. The circumcenter's location varies depending on the triangle type: it lies inside the triangle for acute triangles, on the triangle for right triangles, and outside for obtuse triangles.
Construct a scalene triangle and then from each of its vertices draw a straight line that is perpendicular to its opposite side and where these 3 straight lines intersect it is the orthocenter of the triangle. The position of the orthocenter can vary depending on what type of triangle it.
Consider a "unit cube", with all edges equal to 1 inch in length. Eight vertices - A, B, C, D, clockwise around the top, E, F, G, H on the bottom, with A directly above E, B directly above F, etc. Triangle Type 1 is completely confined to one face of the cube. The second and third points are adjacent (connected by an edge of the cube) to the first, but are opposite each other, but still on the same face. Two of the sides are edges of the cube, and therefore have a length of 1 inch. The third side is a diagonal drawn across one face of the cube, and has a length of √2 inches. This is a right triangle, and is also an isosceles triangle (the two sides adjacent to the right angle have the same length). The area of this triangle is 1/2 square inch. A typical triangle of this type is ABC. Triangle Type 2 has two vertices that are adjacent to each other (on the same edge of the cube), but the third point is the opposite vertex of the cube from the first point, and is the opposite vertex on the same face as the second point. One side is an edge of the cube and has a length of 1. The second side is a diagonal drawn across one face of the cube, and has a length of √2. The third side is a diagonal drawn between opposite vertices of the cube, and has a length of √3. This is also a right triangle, but not an isosoceles triangle, and therefore different from the first type. The area of this triangle is √2/2. A typical triangle of this type is ABG. Triangle Type 3 has three vertices that are opposite each other along the same face (though on three different faces). I.e., Vertices 1 and 2 are opposite each other along one face, 2 and 3 are opposite each other along another face, and 1 and 3 are opposite each other along a third face. All three sides have a length of √2. This is an equilateral triangle. The area of this triangle is √3/2. A typical triangle of this type is ACF.
A shape with three vertices besides a triangle is a "trilateral" or "polygon with three sides." However, if you're looking for a specific type, an example is a "trapezoid," which has four sides but can have three vertices if one of the sides is collapsed, creating a degenerate form. Another example is a "digon," which exists in spherical geometry and has two sides and three vertices when considering the space it occupies.
A scalene triangle is one type of triangle that will be formed from the given dimensions.
It works out as an isosceles triangle