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

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) (Show Source): You can put this solution on YOUR website!
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,

which is the sum of the square of the lengths of the sides and is equal to the square of the hypotenuse or .

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,

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
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