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The x-coordinate of the centroid is the arithmetic mean of the x-coordinates of the three vertices. And likewise, the y-coordinate of the centroid is the arithmetic mean of the y-coordinates of the three vertices.
Thus, if A = (x1, y1), B = (x2, y2) and C = (x3, y3) then the coordinates of the centroid, G = [(x1,+ x2 + x3)/3, (y1 + y2 + y3)/3].
What else can I help you with?
Are the medians of a triangle equidistant from each vertex?
Every triangle has three medians, just like it has three altitudes, angle bisectors, and perpendicular bisectors. The medians of a triangle are the segments drawn from the vertices to the midpoints of the opposite sides. The point of intersection of all three medians is called the centroid of the triangle. The centroid of a triangle is twice as far from a given vertex than it is from the midpoint to which the median from that vertex goes. For example, if a median is drawn from vertex A to midpoint M through centroid C, the length of AC is twice the length of CM. The centroid is 2/3 of the way from a given vertex to the opposite midpoint. The centroid is always on the interior of the triangle.
What is the largest angle of a triangle with vertices at -2 0 and 0.5 1.5 and 3.5 -3.5?
The given vertices when plotted on the Cartesian plane will form a right angle triangle and so therefore its largest angle is 90 degrees.
How the Triangle ABC is shown on the graph. What are the coordinates of the image of point B after the triangle is rotated 270 and deg about the origin?
That would depend on its original coordinates and in which direction clockwise or anti clockwise of which information has not been given.
How do you find the area of triangle using given coordinates?
Simple. Just multiply the base by the height of the triangle, and divide it into two. This works for all types of triangles.
Which is the opposite and adjacent sides in a triangle?
Each triangle has three sides and three vertices. The opposite side of a triangle is the side that is not adjacent to the specified vertex. The other two sides are adjacent sides to the specified vertex. Circular definition? Yes - Here is the formal definition... Given a triangle with vertices A, B, and C, the side AB is adjacent to the angles ABC and BAC, and it is opposite to the angle ACB.
How do you find whether the given quadrilateral is a triangle?
Suppose a quadrilateral is given using its vertex coordinates. It will be a triangle if three vertices are collinear, that is are on the same line.
What is the center of any given triangle?
It is the centroid.
What are the coordinates of the vertices of triangle a'b'c' after triangle ABC is dilated using a scaling factor of 3?
Find the coordinates of the vertices of triangle a'b'c' after triangle ABC is dilated using the given scale factor then graph triangle ABC and its dilation A (1,1) B(1,3) C(3,1) scale factor 3
Are the medians of a triangle equidistant from each vertex?
Every triangle has three medians, just like it has three altitudes, angle bisectors, and perpendicular bisectors. The medians of a triangle are the segments drawn from the vertices to the midpoints of the opposite sides. The point of intersection of all three medians is called the centroid of the triangle. The centroid of a triangle is twice as far from a given vertex than it is from the midpoint to which the median from that vertex goes. For example, if a median is drawn from vertex A to midpoint M through centroid C, the length of AC is twice the length of CM. The centroid is 2/3 of the way from a given vertex to the opposite midpoint. The centroid is always on the interior of the triangle.
In and 9651ABC the coordinates of vertices A and B are A(12) and B( and minus3 and minus1). For each of the given coordinates of vertex C is and 9651ABC a right triangle Select Right Triangle or Not a?
Not too sure of the question but if A is (1, 2) and B is (-3, -1) then it is a right angle triangle if the coordinates of C are at (1, -1) or (-3, 2)
What is the name given to the three points of a triangle?
Its vertices.
How to Find the centroid of the tetrahedron with 4 corners whose density function is given?
To find the centroid of a tetrahedron with a given density function, you need to calculate the average position of the tetrahedron's mass in each coordinate direction. This can be determined by integrating the density function over the volume of the tetrahedron and dividing by the total mass. The centroid coordinates can then be calculated using these average positions.
What is the area of a triangle with vertices at -3 7 and 2 19 and 10 7?
By plotting the given vertices and then joining them together on the Cartesian plane the shape of a isosceles triangle will be formed with an area of 78 square units.
What is history of theodolite?
From geometry, we know that it is possible to calculate unknown lengths and angles of a triangle given particular information regarding the other angles and lengths of the sides of a triangle. For example, given beginning coordinates such as (x,y) in plane coordinates or the latitude and longitude, it is then possible to calculate new coordinates by measuring certain angles and distances (lengths of sides of a triangle).
What is the largest angle of a triangle with vertices at -2 0 and 0.5 1.5 and 3.5 -3.5?
The given vertices when plotted on the Cartesian plane will form a right angle triangle and so therefore its largest angle is 90 degrees.
How the Triangle ABC is shown on the graph. What are the coordinates of the image of point B after the triangle is rotated 270 and deg about the origin?
That would depend on its original coordinates and in which direction clockwise or anti clockwise of which information has not been given.
Finding square feet in a quadrilateral?
The answer depends on the shape of the quadrilateral and the form in which that information is given: for example, lengths of sides and angles, coordinates of vertices.
