SOLUTION: USE THE PYTHAGOREAN THEOREM TO FIND THE DISTANCE BETWEEN EACH PAIR OF POINTS. A(O,O), B(8,6)

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Question 214259: USE THE PYTHAGOREAN THEOREM TO FIND THE DISTANCE BETWEEN EACH PAIR OF POINTS. A(O,O), B(8,6)
Answer by drj(1380) About Me  (Show Source):
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USE THE PYTHAGOREAN THEOREM TO FIND THE DISTANCE BETWEEN EACH PAIR OF POINTS. A(O,O), B(8,6)

Step 1. The distance d between points A or (x1,y1) and points B or (x2, y2) will be derived from the Pythagorean Theorem. That is,

d%5E2=%28x2-x1%29%5E2%2B%28y2-y1%29%5E2 which is the sum of the square of the lengths of the sides %28x2-x1%29%5E2and %28y2-y1%29%5E2 is equal to the square of the hypotenuse or d%5E2.

Step 2. So when A(0,0) then x1=0 and y1=0. When B(8,6), then x2=8 and y2=6.

Step 3. Using Steps 1 and 2, yields,

d%5E2=%28x2-x1%29%5E2%2B%28y2-y1%29%5E2

d%5E2=%288-0%29%5E2%2B%286-0%29%5E2

d%5E2=64%2B36

d=10

Step 4. So the distance is 10 between points A and B.

I hope the above steps were helpful.

For free Step-By-Step Videos on Introduction to Algebra, please visit http://www.FreedomUniversity.TV/courses/IntroAlgebra or for Trigonometry visit http://www.FreedomUniversity.TV/courses/Trigonometry.

And good luck in your studies!

Respectfully,
Dr J