Distance formula
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Transcript of Distance formula
DISTANCE FORMULA
Plot these coordinates on
our Cartesian plane.
(3,2)
(8,7)
(8,2)
RIGHT TRIANGLE
AC is
plotted on
the x- axis.
Find the difference of the two
coordinates in x axis.
x2-x1
x2=8
x1=3
=8 – 3
=5
AC is
plotted on
the x- axis.
BC is plotted on the y-axis
Find the difference of the two
coordinates in x axis.
y2-y1
y2=7
y1=2
=7 – 2
=5
PYTHAGOREAN
THEOREM
𝑐 = 𝑥2 − 𝑥12 + (𝑦2 − 𝑦1)
2
DISTANCE FORMULA
SUBSTITUTION METHOD
By substitution:
𝐷 = 𝑥2 − 𝑥12 + (𝑦2 − 𝑦1)
2
𝐷 = 5 2 + 5 2
𝐷 = 50
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)
𝐵𝑆 = 𝑥2 − 𝑥12 + (𝑦2 − 𝑦1)
2
= 2 + 1 2 + (5 −4)2
= 10
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)
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.