Finding the distance between two points.
(-4,4)
(4,-6)
Finding the distance between two points.Draw the right triangle as shown.
(-4,4)
(4,-6)(-4,-6)
4-(-6)=10
Find the length of each leg.
(-4,4)
(4,-6)(-4,-6)
10
4-(-4)=8
Using the Pythagorean theorem, 102 + 82 = D2, wecalculate the distance between the two points.100+64 = 164 = D2 . Thus D = 164
(-4,4)
(4,-6)(-4,-6)
10
4-(-4)=8
To find a formula for this problem, we will create the problem using variables.
(x1,y1)
(x2,y2)
To find a formula for this problem, we will create the problem using variables.
(x1,y1)
(x2,y2)
(x2,y1)
x1x2
x2 - x1
D
To find a formula for this problem, we will create the problem using variables.
(x1,y1)
(x2,y2)
(x2,y1)
x1x2
y1
y2
x2 - x1
y2 - y1
D2 = (x2 - x1)2 + (y2 - y1)2
D
D = (x2 - x1)2 + (y2 - y1)2
The distance formula is:
Find the distance between (-2,8) and (9, -5)
D = (9 - (-2))2 + (-5 - 8)2
D = (x2 - x1)2 + (y2 - y1)2
The distance formula is:
Find the distance between (-2,8) and (9, -5)
D = (9 - (-2))2 + (-5 - 8)2
D = 112 + (-13)2
D = (x2 - x1)2 + (y2 - y1)2
The distance formula is:
Find the distance between (-2,8) and (9, -5)
D = (9 - (-2))2 + (-5 - 8)2
D = 112 + (-13)2
D = 121 + 169
D = (x2 - x1)2 + (y2 - y1)2
The distance formula is:
Find the distance between (-2,8) and (9, -5)
D = (9 - (-2))2 + (-5 - 8)2
D = 112 + (-13)2
D = 121 + 169
D = 290