![]() The only difference here will be that the y-coordinates remain the same and we subtract the x-coordinates. Similarly, we also find the length of side CB. If we observe carefully, subtracting the y-coordinate values of C from the y-coordinate value of A we get the distance between the points A and C.Īnd that my friends, is how we found the length of side AC. The only information we are left with are the y-coordinates. In order to find the length of side AC, we need to find the distance between points A and C. As we have already established the fact that AC is parallel to the y-axis, the x-coordinates will be the same and we cannot use it to calculate the distance.ĭownload NCERT Solutions for Class 10 Mathematics Since the sides, AC and BC are parallel to the y-axis and the x-axis respectively, what we now have is a right-angled triangle ACB where side AB is the hypotenuse, side AC is the perpendicular and CB is the base. That means both the axes are perpendicular to each other. It is a well-known fact that on the x-y coordinate plane the x-axis cuts the y-axis at 90 degrees. Therefore the coordinates of point C are C (x1,y2). Since we considered the point C to be parallel to x-axis the y-coordinate of C will be the same as the y-coordinate of B which is y2 and since C is also parallel to the y-axis the x-coordinate will be equal to the x-coordinate of A which is x1. Now complete the triangle by joining the points A and B to a common point C such that AC is parallel to the y-axis while BC is parallel to the x-axis. Connect the points A and B directly forming a slanting line AB. In the above diagram, let’s consider 2 points A(x1,y1) and B(x2,y2). Let us take a look at how the formula was derived.īrowse more Topics under Coordinate Geometryĭownload Coordinate Geometry Cheat Sheet Below These points are usually crafted on an x-y coordinate plane. Derived from the Pythagorean Theorem, the distance formula is used to find the distance between any 2 given points. ![]()
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