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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 
a 
b
푐 = 푥2 − 푥1 
2 + (푦2 − 푦1)2
DISTANCE FORMULA
SUBSTITUTION METHOD 
By substitution: 
퐷 = 푥2 − 푥1 
2 + (푦2 − 푦1)2 
퐷 = 5 2 + 5 2 
퐷 = 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)
퐶퐵 = 푥2 − 푥1 
2 + (푦2 − 푦1)2 
= 2 − 0 2 + (5 −1)2 
= 4 + 16 
= 20 
=5 2
퐵푆 = 푥2 − 푥1 
2 + (푦2 − 푦1)2 
= 2 + 1 2 + (5 −4)2 
= 10
QUIZ#6 
Get ½ crosswise sheet of 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) and V (2,5) 
Y (-1,6) and S (5, 10) 
B. Make a research on midpoint and 
give at least 2 examples.
Presentation (distance formula)

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Presentation (distance formula)