Math 10 Week #14 (Updated)

This week we learnt how to find the length of line segments. A line segment can be found on a graph and is often labeled on either end with letters (like A,B).

To find a line length the question will give you the coordinates for where the line starts and finishes. For example they might tell you: point A(3,3) and point B(5,7) and ask you to find the distance from points A to B. The first number in each coordinate is on the x axis and the other is on the y axis.

First, you take the x coordinate for the A and the x coordinate for the B. Whichever number is bigger, you subtract the smaller one from. (5-3=2) Then, you do the same for the y coordinates. (7-3=4)

Next, you use Pythagorean Theorem to find the length (a^2 + b^2 = c^2). So, 2^2 + 4^2 = c^2

4 + 16 = c^2

20 = c^2

\sqrt{20} = 4.47

Now, you know that the line AB’s length is 4.47

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