Lesson Pythagorean Theorum E
One of the MOST famous
One of the MOST famous
equations of all time
One of the MOST famous
equations of all time
is the pythagorean theorum!
One of the MOST famous
equations of all time
is the pythagorean theorum!
a2 + b2 = c2
One of the MOST famous
equations of all time
is the pythagorean theorum!
a2 + b2 = c2
The pythagorean theorum
The pythagorean theorum
a2 + b2 = c2
The pythagorean theorum
can only be used in a right triangle
a2 + b2 = c2
The pythagorean theorum
can only be used in a right triangle
a2 + b2 = c2
The pythagorean theorum
can only be used in a right triangle
a2 + b2 = c2
The pythagorean theorum
can only be used in a right triangle
a2 + b2 = c2
right
triangle
The pythagorean theorum
can only be used in a right triangle
The letter c stands for
a2 + b2 = c2
The pythagorean theorum
can only be used in a right triangle
The letter c stands for
the hypotenuse
a2 + b2 = c2
The pythagorean theorum
can only be used in a right triangle
The letter c stands for
c
the hypotenuse
a2 + b2 = c2
The pythagorean theorum
can only be used in a right triangle
The letter c stands for
c
the hypotenuse
which is the side across
a2 + b2 = c2
from the right angle
The pythagorean theorum
can only be used in a right triangle
The letter c stands for
c
the hypotenuse
which is the side across
a2 + b2 = c2
from the right angle
'C' stands for
in the pythagorean
theorum.
Which letter stands for the hypotenuse
     in the pythagorean theorum?
a
b
c
d
Which side is the hypotenuse?
Brown
Red
Yellow
Which is the hypotenuse?
Black
Green
Pink
A
Which side is the hypotenuse?
AB
AC
BC
B
C
The a and b stand for the other two sides
a2 + b2 = c2
The a and b stand for the other two sides
a2 + b2 = c2
The a and b stand for the other two sides
a
a2 + b2 = c2
The a and b stand for the other two sides
a
a2 + b2 = c2
The a and b stand for the other two sides
b
a
a2 + b2 = c2
The a and b stand for the other two sides
but it doesn't matter which is which.
b
a
a2 + b2 = c2
The a and b stand for the other two sides
but it doesn't matter which is which.
a
b
a2 + b2 = c2
b
a
?
c
?
a
?
c
?
b
When using the pythagorean theorum
When using the pythagorean theorum
When using the pythagorean theorum
First, determine which side is c
x
2
5
When using the pythagorean theorum
First, determine which side is c
c
x
2
5
When using the pythagorean theorum
then use the formula
First, determine which side is c
c
x
2
5
When using the pythagorean theorum
then use the formula
First, determine which side is c
a2 + b2 = c2
c
x
2
5
When using the pythagorean theorum
then use the formula
First, determine which side is c
22 + 52 = x2
a2 + b2 = c2
Plug in values
c
x
2
5
When using the pythagorean theorum
then use the formula
First, determine which side is c
4 + 25 = x2
22 + 52 = x2
a2 + b2 = c2
Square the numbers
Plug in values
c
x
2
5
When using the pythagorean theorum
then use the formula
First, determine which side is c
4 + 25 = x2
22 + 52 = x2
a2 + b2 = c2
29 = x2
Square the numbers
Plug in values
Add
c
x
2
5
When using the pythagorean theorum
then use the formula
First, determine which side is c
4 + 25 = x2
22 + 52 = x2
a2 + b2 = c2
29 = x2
√29 = x
Square the numbers
Plug in values
Square root both sides
Add
c
x
2
5
2
3
+ 32 =
2
x =
5
x
a2 + b2 = c2
2
+ 22 =
+
= x2
= x2
2
6
2
x
Let's try solving for a triangle with a known hypotenuse
Let's try solving for a triangle with a known hypotenuse
12
10
x
Let's try solving for a triangle with a known hypotenuse
a2 + b2 = c2
12
10
x
Let's try solving for a triangle with a known hypotenuse
x2 + 102 = 122
a2 + b2 = c2
Plug in values
12
10
x
Let's try solving for a triangle with a known hypotenuse
x2 + 100 = 144
x2 + 102 = 122
a2 + b2 = c2
Plug in values
Square the numbers
12
10
x
Let's try solving for a triangle with a known hypotenuse
x2 + 100 = 144
x2 + 102 = 122
a2 + b2 = c2
- 100
- 100
Plug in values
Square the numbers
12
10
x
Let's try solving for a triangle with a known hypotenuse
x2 + 100 = 144
x2 + 102 = 122
a2 + b2 = c2
- 100
x2 = 44
- 100
Plug in values
Square the numbers
12
10
x
Let's try solving for a triangle with a known hypotenuse
x2 + 100 = 144
x2 + 102 = 122
a2 + b2 = c2
- 100
x2 = 44
- 100
Plug in values
Square root both sides
Square the numbers
12
10
x = √44
x
a2 + b2 = c2
x2 +
2
=
2
10
x
8
a2 + b2 = c2
x2 +
x2 +
8
2
=
=
10
2
10
x
8
a2 + b2 = c2
x2 +
x2 +
x2
=
- 64
8
64
2
=
=
- 64
100
10
2
10
x
8
a2 + b2 = c2
x2 +
x2 +
x2
x =
=
- 64
8
36
64
2
=
=
- 64
100
10
2
10
x
8
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