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

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