Question

how do you find the distance between two points using thee Pythagorean theorem?

Answer 1

draw a right triangle

Answer 2

then use the Pythagorean theorem to find c (which is the distance between the two points)

a^2 + b^2 = c^2

Answer 3

\[x ^{2}+y ^{2}= distance ^{2}\]

Answer 4

thanks guys so much, and any one who else wants to answer it feel free lol

Answer 5

the distance between your X's squared plus the distance between your Y's squared will give you the distance between the points squared.

Answer 6

(x2-x1)^2 +(y2-y1)^2 = distance^2

Answer 7

@Hyroko so for x2 and y2 could that be a2 nd y2?

Answer 8

First point (x1,y1) Second point (x2,y2)

Answer 9

so x2-x1 will give you the distance between the points on the X axis
and y2-y1 will give you the distance between the points on the Y axis.

then you square those values. then add them together.

then take the square root of your answer and you have the distance between the 2 points.

Answer 10

http://learn.flvs.net/educator/common/Pre-algebraPatCarlisle/PreAlgv16Module3DBA.jpg

Answer 11

for example, if you had a point (0,5) and the point (5,6)

5-0 = 5
6-5 = 1
(5)^2 + (1)^2 = 26

the distance would be \[\sqrt{26}\]

Answer 12

just realized that may be a bad example.... Lol (3,4) (5,6)

5-3 = 2
6-4 = 2

(2)^2+(2)^2 = 8
distance is \[\sqrt{8}\]

Answer 13

thanks so much @Hyroko