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d) Plot the points and find the distance between points (-5, -3) and (1,6) using PythagoreanTheorem.

Sagot :

To obtain the distance between these two points we can follow the following steps:

I f we have the following two points (a,c), and (b,c).

Step 1.

Draw a right triangle with coordinates (a, c), (b, c) and (b, d)

So, we have this graph:

Step 2.

Find the lengths of the legs of the triangle.

W= 1-(-5)=6

V=6-(-3)=9

Step 3 - Use Pythagoras' theorem to calculate distance:

[tex]U^2=W^2+V^2[/tex][tex]U^2=6^2+9^2=36+81=117[/tex][tex]U=\sqrt[]{117}\text{ }\cong\text{10.8}[/tex]

The distance is approximately 10.8.

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