Distance formula
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Transcript of Distance formula
![Page 1: Distance formula](https://reader034.fdocuments.in/reader034/viewer/2022052223/55a0d9d11a28abf04b8b45be/html5/thumbnails/1.jpg)
DISTANCE FORMULA
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Plot these coordinates on
our Cartesian plane.
(3,2)
(8,7)
(8,2)
![Page 3: Distance formula](https://reader034.fdocuments.in/reader034/viewer/2022052223/55a0d9d11a28abf04b8b45be/html5/thumbnails/3.jpg)
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RIGHT TRIANGLE
![Page 9: Distance formula](https://reader034.fdocuments.in/reader034/viewer/2022052223/55a0d9d11a28abf04b8b45be/html5/thumbnails/9.jpg)
AC is
plotted on
the x- axis.
![Page 10: Distance formula](https://reader034.fdocuments.in/reader034/viewer/2022052223/55a0d9d11a28abf04b8b45be/html5/thumbnails/10.jpg)
Find the difference of the two
coordinates in x axis.
x2-x1
x2=8
x1=3
=8 – 3
=5
![Page 11: Distance formula](https://reader034.fdocuments.in/reader034/viewer/2022052223/55a0d9d11a28abf04b8b45be/html5/thumbnails/11.jpg)
AC is
plotted on
the x- axis.
BC is plotted on the y-axis
![Page 12: Distance formula](https://reader034.fdocuments.in/reader034/viewer/2022052223/55a0d9d11a28abf04b8b45be/html5/thumbnails/12.jpg)
Find the difference of the two
coordinates in x axis.
y2-y1
y2=7
y1=2
=7 – 2
=5
![Page 13: Distance formula](https://reader034.fdocuments.in/reader034/viewer/2022052223/55a0d9d11a28abf04b8b45be/html5/thumbnails/13.jpg)
PYTHAGOREAN
THEOREM
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𝑐 = 𝑥2 − 𝑥12 + (𝑦2 − 𝑦1)
2
![Page 15: Distance formula](https://reader034.fdocuments.in/reader034/viewer/2022052223/55a0d9d11a28abf04b8b45be/html5/thumbnails/15.jpg)
DISTANCE FORMULA
![Page 16: Distance formula](https://reader034.fdocuments.in/reader034/viewer/2022052223/55a0d9d11a28abf04b8b45be/html5/thumbnails/16.jpg)
SUBSTITUTION METHOD
By substitution:
𝐷 = 𝑥2 − 𝑥12 + (𝑦2 − 𝑦1)
2
𝐷 = 5 2 + 5 2
𝐷 = 50
![Page 17: Distance formula](https://reader034.fdocuments.in/reader034/viewer/2022052223/55a0d9d11a28abf04b8b45be/html5/thumbnails/17.jpg)
ACTIVITY #1
• Graph and show that the following
coordinates forms an isosceles
triangle by using the distance
formula.
S (-1,4)
C (0,1)
B (2,5)
![Page 18: Distance formula](https://reader034.fdocuments.in/reader034/viewer/2022052223/55a0d9d11a28abf04b8b45be/html5/thumbnails/18.jpg)
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𝐵𝑆 = 𝑥2 − 𝑥12 + (𝑦2 − 𝑦1)
2
= 2 + 1 2 + (5 −4)2
= 10
![Page 23: Distance formula](https://reader034.fdocuments.in/reader034/viewer/2022052223/55a0d9d11a28abf04b8b45be/html5/thumbnails/23.jpg)
QUIZ#6
Get ½ crosswise sheet of pad paper and
answer the following.
Find the distance between the given
points.
1. (0,9) and (0,13)
2. (4,5) and (-3,5)
3. (8,1) and (8,-2)
4. (1,0) and (5,2)
5. (5,-4) and (1,-1)
![Page 24: Distance formula](https://reader034.fdocuments.in/reader034/viewer/2022052223/55a0d9d11a28abf04b8b45be/html5/thumbnails/24.jpg)
ASSIGNMENT
A. Graph and Find the distance using
distance formula.
I (-4,6)
V (2,5)
Y (-1,6)
S (5, 10)
B. Make a research on midpoint and
give at least 2 examples.
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