Wiki User
∙ 8y agoWant this question answered?
Be notified when an answer is posted
Average of the endpoints
If by sperical triangle you mean a triangle on the surface of a sphere, you will need 3 dimensional coordinate geometry. Whether you use polar coordinates or linear coordinates will depend on what you want to "solve".
If you mean end point A is (3, 5) and midpoint of line AB is (-2, 8) then end point B is (-7, 11)
Plot straight line or curved graphs on the Cartesian plane Plot a line of 'best fit' for any correlation of given data Solve simultaneous equations when the coordinates intersect each other Transformations
The center of mass of a triangle is better known as the centroid - the intersection of the medians. One median of the triangle with coordinates A(0,-12), B(0,12) and C(1,0) is obvious: the middle of side AB is (0,0) so the line from C to that middle is the x-axis. Another media goes from A to the midpoint of BC. This midpoint M can be expressed as (1/2,6). We want to know the equation of line AM: it's x-intercept, at A, is -12; it goes up 18 units over a horizontal distance of 1/2 a unit, so its slope is 18*2=36. Thus, the equation is y=36x-12. We now solve for the intersection of the two medians: y=0 and y=36x-12. This gives us 36x-12=0 or x=12/36=1/3, so the intersection point is (1/3,0). Theoretically, we could try to find the equation of the third median, but there is no need - we know that it has to pass through the intersection of the first two. So the coordinates of the centroid, or the center of mass, are just this intersection: the point (1/3,0). The coordinates of the center of mass, or centroid, are just the average of the coordinates of the corners. This is a much faster way of calculating the centroid. Our three points are (0,12), (0,-12), and (1,0). The mean of the x-coordinates is (0+0+1)/3 or 1/3. The mean of the y-coordinates is (12-12+0)/3 or 0. So the centroid's coordinates are (1/3,0).
Average of the endpoints
If by sperical triangle you mean a triangle on the surface of a sphere, you will need 3 dimensional coordinate geometry. Whether you use polar coordinates or linear coordinates will depend on what you want to "solve".
You can either measure or estimate the coordinates visually from the graph, or solve the equation underlying the graph.
Some problems are easier to solve using polar coordinates, others using Cartesian coordinates.
If you mean end point A is (3, 5) and midpoint of line AB is (-2, 8) then end point B is (-7, 11)
substitute 0 for y and solve for x. then substitute x for 0 and solve for why and you have the x and y coordinates
Select any value for one of the variables in the graph and solve the equation to get the other variable.
0
Plot straight line or curved graphs on the Cartesian plane Plot a line of 'best fit' for any correlation of given data Solve simultaneous equations when the coordinates intersect each other Transformations
The formula for the equation of a circle is (x – h)2+ (y – k)2 = r2, where (h, k) represents the coordinates of the center of the circle, and r represents the radius of the circle.
A linear system just means it's a line. A solution is just a point that is on that line. It means that the two coordinates of the point solve the equation that makes the line. Alternatively, it could mean there are 2 (or more) lines and the point is where they intersect; meaning its coordinates solve both (or all) equations that make the lines.
The center of mass of a triangle is better known as the centroid - the intersection of the medians. One median of the triangle with coordinates A(0,-12), B(0,12) and C(1,0) is obvious: the middle of side AB is (0,0) so the line from C to that middle is the x-axis. Another media goes from A to the midpoint of BC. This midpoint M can be expressed as (1/2,6). We want to know the equation of line AM: it's x-intercept, at A, is -12; it goes up 18 units over a horizontal distance of 1/2 a unit, so its slope is 18*2=36. Thus, the equation is y=36x-12. We now solve for the intersection of the two medians: y=0 and y=36x-12. This gives us 36x-12=0 or x=12/36=1/3, so the intersection point is (1/3,0). Theoretically, we could try to find the equation of the third median, but there is no need - we know that it has to pass through the intersection of the first two. So the coordinates of the centroid, or the center of mass, are just this intersection: the point (1/3,0). The coordinates of the center of mass, or centroid, are just the average of the coordinates of the corners. This is a much faster way of calculating the centroid. Our three points are (0,12), (0,-12), and (1,0). The mean of the x-coordinates is (0+0+1)/3 or 1/3. The mean of the y-coordinates is (12-12+0)/3 or 0. So the centroid's coordinates are (1/3,0).