SOLUTION: can you help me solve this question? i dont get it it says: use the pythagorean theoreum to find the distance between each pair of points C(-10,2) D(-7,6)

Algebra ->  Pythagorean-theorem -> SOLUTION: can you help me solve this question? i dont get it it says: use the pythagorean theoreum to find the distance between each pair of points C(-10,2) D(-7,6)      Log On


   

Question 342131: can you help me solve this question? i dont get it
it says: use the pythagorean theoreum to find the distance between each pair of points
C(-10,2) D(-7,6)
Answer by Edwin McCravy(20054) About Me  (Show Source):
You can put this solution on YOUR website!
Can you help me solve this question? I dont get it
It says: use the Pythagorean theorem to find the
distance between each pair of points

C(-10,2) D(-7,6)





Draw in these two green lines and you have a right triangle



Now you can count the number of units in the two green lines,
which are the two legs of the right triangle and the hypotenuse
of the right triangle is the distance between the two points.

The bottom side of the triangle is 3 units in length.
The right side of the triangle is 4 units in length.

So we use the Pythagorean theorem:

c%5E2=a%5E2%2Bb%5E2

c%5E2=3%5E2%2B4%5E2

c%5E2=9%2B16

c%5E2=25

c=sqrt%2825%29

c=5

So the line CD is 5 units long

Edwin