Concept explainers
To compare: the Pythagoras Theorem and distance formula to evaluate the distance between two points on the coordinate plane.
Explanation of Solution
The distance formula gives a way to find the length or distance between two points whose coordinates are given directly.
Given the two points
Where as the Pythagoras theorem, the length of the line segment is found out indirectly by firstly finding the horizontal component and vertical component of the line in question.
If there is a line whose measure is to found then firstly horizontal line from lower point of line and vertical line from upper end point of given line are traced. These lines meet at right angle at a point.
The horizontal, vertical and the line itself will form a right
The horizontal line is called as horizontal component and vertical line is called as vertical component.
The measure of horizontal and vertical components is measured and by applying the Pythagoras theorem the value of hypotenuse which is nothing but the original line segment itself will be known.
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