View
16.512
Download
0
Category
Preview:
DESCRIPTION
This is a lesson that I created to teach my 8th grade students about the Pythagorean Theorem. To see more of my lessons on powerpoint, click on the link below.https://www.teacherspayteachers.com/index.php?method=TeacherDetail&Aid=3055
Citation preview
Created by G. Antidormi 2003
The Pythagorean Theorem
Created by G. Antidormi 2003
What is the Pythagorean Theorem used for?
• to find the length of a missing side in a right triangle
5
4
n
Created by G. Antidormi 2003
Pythagorean Theorem Formula
• a2 + b2 = c2
c represents the hypotenuse
a and b represent the legs
Created by G. Antidormi 2003
hypotenuse
leg
leg
a
b
c
Created by G. Antidormi 2003
Important bits of information
• The Pythagorean Theorem can only be used on a right triangle.
• The legs are always the sides adjacent (next to) the 90 degree angle.
• It does not matter which leg is a and which leg is b.
• c is always the hypotenuse (the slant)
Created by G. Antidormi 2003
What is the length of the hypotenuse in the triangle below?
2
4
ha2 + b2 = c2
Created by G. Antidormi 2003
Plug in the value for each variable in the formula.
Created by G. Antidormi 2003
What is the length of the hypotenuse in the triangle below?
2
4
h
a2 + b2 = c2
22 + 42 = h2
4 + 16 = h2
20 = h2
Created by G. Antidormi 2003
What is the length of the hypotenuse in the triangle below?
2
4
ha2 + b2 = c2
22 + 42 = h2
4 + 16 = h2
20 = h2
20 = h
4.47~~ h
Created by G. Antidormi 2003
Try this one . . .
Find the hypotenuse of the right triangle below?
64
h
Created by G. Antidormi 2003
Find the hypotenuse of the right triangle below?
6
4
h
a2 + b2 = c2
42 + 62 = h2
16 + 36 = h2
52 = h2
52 = h
7.21 = h
Created by G. Antidormi 2003
What is the length of the missing leg in the triangle below?
3
x
5a2 + b2 = c2
Try this one . . .
Created by G. Antidormi 2003
Find the hypotenuse of the right triangle below?
53
x
a2 + b2 = c2
32 + x2 = 52
9 + x2 = 25
x2 = 16 16x=
x = 4
-9 - 9
Recommended