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

User OkTalk
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1 Answer

9 votes
9 votes

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:


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

The distance is approximately 10.8.

D) Plot the points and find the distance between points (-5, -3) and (1,6) using PythagoreanTheorem-example-1
User RayJ
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2.9k points