The distance between two points is calculated using the formula
Example1: Find the distance between the points (1, -3) and the point (5, -8)
Solution:
The distance between the points A and B is given by the formula
Here A= = and B= = . Now apply this formula
Example 2: Find the distance between the points (2, -7) and (3, 2)
Solution:
The distance between the points A and B is given by the formula
Here A= = and B= = . Now apply this formula
Example3: Find the distance between the points (a, b) and (-a, -b).
Solution:
The distance between the points A and B is given by the formula
Here A= (1, -3) = (x1, y1) and B= (5, -8) = (x2, y2). Now apply this formula
Median : A median is a line segment joining a vertex to a midpoint to the opposite side of the triangle.
Centroid : The intersection of 3 medians of the triangle is called the centroid of the triangle
The formula for centroid is given by
Examples:
Find the centroid of the triangle with the points (1, 2), (3, 5), (7, 8)
We have the formula
Find the centroid of the triangle with the points (5, 2), (6, 5), (-7, 8)
We have the formula
Find the centroid of the triangle with the points (0, 2), (6, 1), (-7, 3)
We have the formula
The above three examples show us how to calculate the centroid.
Ortho Centre:
The position where the 3 altitudes of a triangle meet is called the Ortho Centre of the triangle.
The below diagram shows all the above points:
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