The Pythagorean Theorem The Right Triangle A right triangle is a triangle that contains one right angle. A right angle is 90o Right Angle.

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Slide 1

The Pythagorean Theorem


Slide 2

The Right Triangle
A right triangle is a triangle
that contains one right
angle.
A right angle is 90o
Right Angle


Slide 3

Parts of a Right Triangle

Leg

Hypotenuse

Leg


Slide 4

The Pythagorean Theorem
a2 + b2 = c2

c

a

b


Slide 5


Slide 6

Example 1


Find the length of the hypotenuse.

c
4
3


Slide 7

Example 2


Find the length of the hypotenuse.

c
8
6


Slide 8

Example 3


Find the length of the hypotenuse

c
16

12


Slide 9

Example 4


Find the length of the unknown side

b

13

12


Slide 10

Example 5


Find the length of the unknown side.

17

15
a


Slide 11

Example 7


Find the length of the unknown side.

24
b
25


Slide 12

Pythagorean Triple


All of the side lengths of the triangles we
have looked at form Pythagorean Triples.



If the side lengths of a right triangle are all
whole numbers, they are called
Pythagorean Triples.


Slide 13

Pythagorean Triples


List the Pythagorean Triples we have
discussed.


Slide 14


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